Generalized Jet-Effect and Shaped Tunnel

ABSTRACT

The invention provides a method for computational fluid dynamics and apparatuses making enable an efficient implementation and use of an enhanced jet-effect, either the Coanda-jet-effect, the hydrophobic jet-effect, or the waving-jet-effect, triggered by specifically shaped corpuses and tunnels. The method is based on the approaches of the kinetic theory of matter, thermodynamics, and continuum mechanics, providing generalized equations of fluid motion. The method is applicable for slow-flowing as well as fast-flowing real compressible-extendable fluids and enables optimal design of convergent-divergent nozzles, providing for the most efficient jet-thrust. The method can be applied to airfoil shape optimization for bodies flying separately and in a multi-stage cascaded sequence. The method enables apparatuses for electricity harvesting from the fluid heat-energy, providing a positive net-efficiency. The method enables efficient water-harvesting from air. The method enables generators for practical-expedient power harvesting using constructive interference of waves due to the waving jet-effect.

CROSS-REFERENCE TO RELATED APPLICATIONS

This patent application is a continuation-in-part of U.S. patent application Ser. No. 15/409,876 filed on Jan. 19, 2017, which is incorporated herein by reference in its entirety. This patent application is also a continuation-in-part of U.S. patent application Ser. No. 15/648,469 filed on Jul. 13, 2017, which is incorporated herein by reference in its entirety.

FIELD OF THE INVENTION

The invention relates generally to fluid dynamics and to use of jet-effect, applied to headway and oscillating motions in fluids, and, more particularly, to jet-effect modeling and use for either:

-   -   a design of an actually-airfoil profile of a birdlike wing,         and/or     -   a design of an actually-airfoil convergent-divergent jet-nozzle,         and/or     -   an implementation of a hydrophobic jet-gear, and/or     -   an implementation of a gravity-jet engine, and/or     -   an implementation of a sequentially-arranged jet-boosters,         and/or     -   an implementation of constructive interference of acoustic waves         in fluids, wherein the waving jet-effect is further translated         in terms of electromagnetic waves.

The primary teachings of the present invention relate to methods and apparatuses, which are destined for the jet-effect triggering and thereby local acceleration of fluid portions and, in the final analysis, for conversion of the fluid portions warmth into the useful-beneficial power, either mechanical or electrical; wherein the local acceleration is self-revealing-and-manifesting as either:

-   -   an accelerating headway motion of fluid portions, subjected to         the Coanda-effect and/or the de Laval effect and/or the         hydrophobic jet-effect; and/or     -   an intensified oscillating motion of fluid portions, subjected         to the waving jet-effect resulting in constructive interference         of acoustic waves.

BACKGROUND OF THE INVENTION

The following issued patents and patent publications provide potentially relevant background material, and are all incorporated by reference in their entirety: U.S. Pat. No. 6,981,366 (Sharpe), US 2008/0061559 A1 (Hirshberg), U.S. Pat. No. 8,268,030 (Abramov), U.S. Pat. No. 8,221,514 (Abramov), U.S. Pat. No. 8,611,787 (Bulman), US2005/027498 A1 (CANON), US2014/288906 A1 (JAPAN), GB894450 A (GENERAL ELECTRIC), and US2011/083420 A1 (CLAY).

Preamble and Terminology

The well-known and widely-used jet-effect provides for the effect of gas extension and thereby acceleration. Accelerated flow is widely applied to propelling some kinds of vehicles having jet-engines usually supplied by either converging or convergent-divergent nozzles, to which the term “jet-nozzle” is also applied to emphasize the jet-effect importance. U.S. Pat. No. 6,981,366 by Sharpe overviews numerous modifications of the jet-effect implementation.

In US 2008/0061559 A1 patent application, Hirshberg points out that the jet-effect is accompanied by decreasing static pressure and temperature, and suggests applying the phenomenon as a trigger for vapor-to-water condensation.

In U.S. Pat. No. 8,268,030 “Wind Energy Use” and U.S. Pat. No. 8,221,514 “Ecologically Clean Method and Apparatus for Water Harvesting from Air”, Abramov points out that a long cascade of streamlined nozzles provides a convergence of a wider front of fluid flow, and provides for an adaptation of the jet-effect use for big-scale devices.

In this invention, the equation of fluid motion is generalized to correspond to the kinetic theory of matter, wherein, in particular, it is shown that a consideration of a fluid, defined as composed of molecules in accordance with the kinetic theory of matter, provides for solving a series of confusing paradoxes, following from the definitions, restricted in the frames of the continuum mechanics.

One of the primary teachings of the present invention, in general, is a method for computational fluid dynamics and a modeling and optimal implementation of jet-effect, in particular, including the de Laval effect. Optimized jet-boosters, hydrophobic jet-gears, and gravity-jet engines are suggested.

As well, the inventor points out that an acoustic (elastic) wave is a particular case of the fluid local motion. The inventor takes note the well-known fact of the constructive and destructive interference of waves, when, correspondingly, in-phase and anti-phase portions of waves are joining. In particular, the joining of two anti-phase waves results in the destructive interference seeming as an annihilation of the waves; and the joining of two in-phase waves results in the constructive interference thereby forming a cumulative wave characterized by the double amplitude and fourfold power. The annihilation and fourfold power, both, if not to explain especially, contradict to The Energy Conservation Law.

Analogously, in relation to electromagnetic waves, a commonly known alternation of constructive and destructive interferences, observed as an alternation of excess and annihilation of the electromagnetic wave energy, correspondingly, i.e. a seemingly tunnel-like effect, if not to explain especially, contradicts to The Energy Conservation Law.

There is therefore a need in the art for a method and apparatus to provide a proper analysis and optimal design of a system, either elastic and/or electromagnetic, implementing controllable wave interference, appropriate for use in industry.

A generalized generator, capable of producing the electrical power from the wave power increased due to constructive interference of elastic and/or electromagnetic waves, is suggested.

In physics, a wave is an oscillation accompanied by a transfer of energy that travels through a medium (space or mass). Waves consist of oscillations or vibrations (of a physical quantity), around almost fixed locations.

Wave motion transfers energy from one point to another, displacing particles of the transmission medium with little or no associated mass transport. The wave-front propagates in accordance with the Huygens-Fresnel principle saying that every point, which a wave-front disturbance reaches, becomes a source of a secondary spherical wave, wherein the interference superposition of these secondary waves determines the form of the wave at any subsequent time. The classical wave equation is defined as a particular case of the equation of medium motion, in turn, defined in frames of the continuum mechanics.

For the purposes of the present invention:

-   -   a generalized acoustic wave equation is defined as a particular         case of the equation of molecular fluid motion, generalized to         correspond to the kinetic theory of matter; and     -   generalized electromagnetic wave properties are defined by a         translation of corresponding properties of elastic waves in the         terms of the electrodynamics, basing on justified assumptions         not contradicting to the modern scientific conventions, to         satisfy Maxwell's equations for the electromagnetic field.

For the purposes of the present invention, the generalized term “universe background matter” should be understood in a broad sense, as a matter, which, in principle, presents in all points of space. Namely, the “universe background matter” is a generalized matter comprising at least a so-called dark matter and neutrino gas.

As well, the inventor points out that the universe is filled with the background electromagnetic radiation characterized by the random spatial distribution of frequencies, amplitudes, phases, polarizations, and directions of propagation.

Further, referring to the corpuscular theory of electromagnetic radiation, and so using the terminology of the kinetic theory of matter, for the purposes of the present invention, the term “electromagnetic gas” should be understood as the background electromagnetic radiation. [In quantum mechanics, the term “photon gas” is used.]

The inventor points out to the fact that the magnetic field, in principle, if not covered by an exotic hermetic and super-conductive shell, is spreading through any matter. The magnetic field can be locally compensated by (or strictly speaking, hidden due to) an opposite magnetic field.

For the purposes of the present invention, the generalized term “universe background energy” should be understood in a broad sense, as an energy, which presents in all points of space. Namely, the “universe background energy” is an omnipresent generalized energy comprising at least:

-   -   the so-called dark energy,     -   the heat energy stored in the neutrino gas interpreted in terms         of the kinetic theory of matter,     -   the latent electromagnetic energy, hidden by the so-called         destructive interference, to which the background         electromagnetic radiation is subjected, i.e., in terms of the         kinetic theory of matter, the latent electromagnetic energy is         the internal heat-like energy stored in the “electromagnetic         gas” (the inventor takes note that at least this portion of the         universe background energy interacts with electromagnetic waves         via constructive-destructive interference); and     -   the potential energy stored in the gravitational field.

In relation to the molecular fluid, to analyze the equation of the molecular fluid motion and, in particular, the acoustic wave equation, for the purposes of the present invention, the term “jet-effect” is used in a wide sense as the effect of fluid flow portion convective acceleration at the expense of fluid portion internal heat energy. In particular, the jet-effect occurs when the fluid portion moves adjacent to configured walls and is subjected to the walls accelerating action, as seemingly “negative friction”. For example, the fluid is gas and the walls are configured to form a converging or convergent-divergent nozzle. In particular, the term “jet-effect” is applied to the well-known and widely-used effect of convective acceleration of a wind-portion, which is flowing over a convex upper surface of an airplane wing and is thereby being subjected to the varying of flow front cross-section in an imaginary convergent-divergent nozzle. Another example is a case, wherein the fluid is water and the configured walls have a hydrophobic surface. Thus, the term “jet-effect”, used here in a wide sense, assumes that the process of gas extension may be insignificant or latent.

The inventor takes note that, in frames of the classical kinetic theory of molecular gas, when considering a relatively weak jet-effect (when the temperature changes and so-called “black-body radiation” are negligible), one normally ignores the electromagnetic energy radiation originated by the randomly accelerating molecules of ideal gas, assuming that the radiation, being dominantly hidden due to the destructive interference, even though expected to be significant from the energetic point of view, is not subjected to the energy conversions substantially. The hidden electromagnetic energy is capable of a manifestation as well-known phenomena at least such as hydrophilicity, hydrophobicity, magnetism, piezo-electricity, photo-electricity, etc. One can estimate the hidden electromagnetic energy hypothetically capable of the manifestation. In particular, when considering one-mole portion of a matter composed of Avogadro's number N_(A)≈6×10²³ of molecules inherently having distributed electrical charges, wherein the Brownian motion of the molecules results in so-called thermal electromagnetic radiation caused by the random superposition of all elemental radiations thereby resulting in random constructive-destructive interference, the sum radiation power of the portion of matter can be estimated, for instance, either:

-   -   as the radiation power being higher than the thermal         electromagnetic radiation power by the factor √{square root over         (N_(A))}, when considering a hypothetic assumption of ideally         not-interfering electromagnetic rays of all the orthogonal         radiations (for instance, that all the N_(A) molecules are         moving with regularized accelerations interrelating with         effective velocities, cumulatively, corresponding to the portion         of matter temperature, such that launching elemental radiations         differing in frequency to result in orthogonal frequency         modulation and so not interfering at least at one spatial         point), or, alternatively,     -   as the radiation power being higher than the thermal         electromagnetic radiation power by the factor N_(A), when         considering a hypothetic assumption of ideally-constructive         interference of all the elemental radiations (for instance, that         all the N_(A) molecules are moving in unison with a certain         acceleration interrelating with the effective velocity,         corresponding to the portion of matter temperature, and so are         launching identical elemental radiations to result in         constructive interference of all the originated identical         elemental radiations at least at one spatial point).

For the purposes of the present invention, the term “imaginary wall”, applied to flowing fluid streamlines, should be understood as a material (but not virtual) wall, formed by the fluid's matter, forcedly-bordering a portion of the flowing fluid. I.e. the material but optionally invisible by the human eye and thereby imaginary wall acts on adjoining fluid portions, enforcing the fluid portions to move along the streamlines, i.e. in alignment with the imaginary wall. When flowing plasma is subjected to an action of a magnetic field, “imaginary walls” are formed by the magnetic field's force-lines defining the streamlines of the flowing plasma. When considering the electromagnetic field, “imaginary walls” should be understood as formed by the electromagnetic field's force-lines.

The jet-effect is the nature of the well-known Coanda-effect, defined as a tendency of a fluid jetstream to be attracted to and aligned with a nearby airfoil surface, i.e. to be specifically accelerated at the expense of the fluid warmth. For the purposes of the present patent application, to emphasize the jet-effect nature of the Coanda-effect, the term “Coanda-jet-effect” is also applied as equivalent to the commonly known term “Coanda-effect”.

Looking ahead, in relation to the electromagnetic wave equation, for the purposes of the present invention, in contrast to the term “empty vacuum”, the term “vacuum” should be understood in the modern sense as “filled” by the universe background matter and by the universe background energy, and the term “electromagnetic jet-effect” will be further introduced as having a further extended and specified sense to be applicable to the electromagnetic field in vacuum.

For the purposes of the present patent application:

-   -   the term “velocity of a flying body” should be understood as the         body motion velocity relative to a stationary fluid; and         vice-versa, the term “flow velocity” should be understood as the         fluid flow velocity relative to the considered body submerged in         the flowing fluid. These two terms are interrelated according to         Galilean relativity;     -   the term “M-velocity” should be understood as the fluid velocity         measured in Mach numbers, or identically, velocity normalized to         the temperature dependent velocity of sound in the fluid; and     -   the well-known terms “low-subsonic”, “high-subsonic”,         “transonic”, “supersonic”, and “hypersonic” are used to specify         the flow velocity ranges as the following:     -   (a) the low-subsonic velocity range is defined as the M-velocity         range comprising M-velocities lower than 0.3 Mach;     -   (b) the high-subsonic velocity range is defined as the         M-velocity range comprising M-velocities higher than 0.3 Mach         and lower than 0.8 Mach;     -   (c) the transonic velocity range is defined as the M-velocity         range comprising M-velocities higher than 0.8 Mach and lower         than 1.2 Mach;     -   (d) the supersonic velocity range is defined as the M-velocity         range comprising M-velocities higher than 1 Mach and lower than         5 Mach; and     -   (e) the hypersonic velocity range is defined as the M-velocity         range comprising M-velocities higher than 5 Mach.

Moreover, for the purposes of the present patent application, the term “specific M-velocity” is introduced to separate the terms “low M-velocities”, associated with M-velocities lower than the specific M-velocity indicated by M*, and “high M-velocities”, associated with M-velocities higher than the specific M-velocity M*. The value of the specific M-velocity M* will be defined hereinbelow by a specific molecular structure of fluid. Furthermore, the term “essential M-velocity range” is defined as an M-velocity range comprising the specific M-velocity M*.

For the purposes of the present patent application, the term “molecular fluid” should be understood as a fluid substance composed of randomly moving and interacting molecules, according to the kinetic theory of matter. Referring to the defined term “molecular fluid”, the earlier defined term “flow velocity” is further specified as a measure of the molecular fluid molecules motion in a prevalent direction in addition to the random Brownian motion.

For instance, air is considered as a molecular fluid, and wind is considered as a natural process, bringing fresh portions of air, storing at least both: the heat energy of molecules Brownian random motion and the kinetic energy of wind motion. Normally, in nature, when the wind is of 10 m/sec, the proportion is such that 99.96% is the heat energy [i.e. warmth] and only 0.04% is the kinetic energy. A phenomenon of a transformation of warmth into a hurricane power is well-known; however, the warmth of ambient natural air remains unused in the world industry. Possession of a technology to control the transformation of the surrounding air and/or water warmth into a directional motion of the fluid could provide a renewable cycle, comprising:

-   -   transformation of the flowing fluid heat-power into acquired         kinetic-power of an arisen jetstream (and/or into acquired wave         power of an arisen wave);     -   conversion of the jetstream kinetic-power into useful         electric-power; and     -   consumption of the electric-power, in the final analysis,         inevitably dissipating back into the warmth of surrounding         matter.

There is, therefore, a need in the art for a method and apparatus to provide a proper analysis and optimal design of a system (mechanic and/or electromagnetic), implementing a controllable jet-effect (the Coanda-jet-effect and/or the electromagnetic jet-effect, correspondingly) appropriate for use in industry.

The Origin of Life

The term “chiral”, applied to a body, has a sense that the body has an overall shape, asymmetric in such a way that the shape and its mirror image are not superimposable. Reference is now made to prior art FIG. 1a , showing schematically a so-called “left-handed” stereoisomer of an amino acid molecule, marked by numeral 1, being chiral, i.e. there is another so-called “right-handed” stereoisomer, marked by numeral 2, in reality or in potential, that is of identical composition, but which is arranged in a non-superimposable mirror image configuration.

The spatial chiral property defines a complementarity. For instance, a bolt and hex nut are complementary when the both have the same chiral screw. As well, for instance, it is well-known a helical antenna that is an antenna consisting of a conducting wire screwed in the form of a chiral helix. The chiral helix in the antenna can twist in two possible directions: right-handed or left-handed, as defined by the right-hand rule. In an axial-mode helical antenna, the direction of twist of the helix determines the polarization of radio waves: a chiral left-handed helix radiates chiral left-circularly-polarized radio waves, while a chiral right-handed helix radiates chiral right-circularly-polarized radio waves. When receiving circularly polarized signals, the chiral handedness of the receiving antenna must be the same as the transmitting antenna; chiral left-hand polarized antennas suffer a severe loss of gain when receiving chiral right-circularly-polarized signals, and vice versa.

A definition of life is neither simple nor unequivocal in the nowaday science. One qualifies a life as an existence of matter in a form of self-replicating protein molecules, or more fundamentally, of ribonucleic acid (RNA) molecules. However, the origin of life remains an extraordinary problem. The principle question about the origin of life is the following. What is the origin of the dominant presence of left-handed stereoisomers of amino acids in the live-nature on the Earth, even though their synthesis normally results in an equal mixture of the right- and left-handed molecular forms? Innumerable mechanisms have been proposed for the origin of left-chiral dominance in amino acids, and none has been proven.

There is, therefore, a need in the art for a method to provide a proper possible natural mechanism allowing for a synthesis of long spiral-like molecules, composed of a certain kind of stereoisomers of amino acids only.

Venturi Effect

Reference is now made to prior art FIG. 1b . FIG. 1b is a schematic illustration of an airfoil-shaped convergent-divergent nozzle 102, pipe-section in a sagittal plane. The shape can be described as comprising an inlet part 103 constricting into a narrow throat 104, further followed by a divergent outlet part 105. When a fluid 106 flows slowly through convergent-divergent nozzle 102, a jet-effect is observed in an adiabatic process, i.e. velocity increases in narrow throat 104 at the expense of the static pressure in fluid 106. Speedometers 1071, 1072, 1073 and barometers 1081, 1082, 1083 illustrate the interrelated behavior of the velocity and static pressure. This jet-effect is known also as the Venturi effect. Thus, the Venturi acceleration effect is observed in the case of a slow and converging flow, and the Venturi retarding effect is observed in the case of a slow and divergent flow.

The inventor points out and emphasizes that the phenomenon of the Venturi effect is the self-acceleration and self-retarding of an airflow portion, i.e. is the airflow velocity self-oscillation, at the expense of the air portion's warmth. I.e., in other words, the Venturi effect of the airflow velocity self-oscillation (as well as the Coanda-jet-effect) has the jet-effect nature.

When observing a freely falling water jetstream, one explains a conic constriction of the water jetstream by the Venturi effect, where the accelerated jetstream becomes accompanied by a decrease of the cross-sectional area.

Reference is now made again to prior art FIG. 1b , wherein now, all the shaped walls are made from a conductive material, for simplicity, from a hypothetic super-conductor. When an electric flux of the electric field 106 flows through convergent-divergent nozzle 102, comprising inlet part 103, narrow throat 104, and outlet part 105, a Venturi-like effect, applied to the electric field, is observed in an adiabatic process. Namely, the electric flux, indicated by Φ, is defined as Φ=AE_(A), where A is the cross-sectional area and E_(A) is the electric field, measured in the cross-sectional plane. The equation of continuity, applied to the electric flux, says that Φ₁₀₃=Φ₁₀₄=Φ₁₀₅, i.e. A₁₀₃E₁₀₃=A₁₀₄E₁₀₄=A₁₀₅E₁₀₅, where indexes “103”, “104”, and “105” relate to inlet part 103, narrow throat 104, and outlet part 105, correspondingly. This means that the electric field E₁₀₄ in narrow throat 104, is higher than the electric field E₁₀₃ in inlet part 103 and higher than the electric field E₁₀₅ in outlet part 105. The energy U_(E) of electric flux crossing the frontal area A is defined as U_(E)=0.5Aε|E_(A) ²|=0.5εE_(A)Φ, where ε is dielectric constant. Comparing the electric field energy U_(E103)=0.5A₁₀₃ε|E₁₀₃ ²|, U_(E104)=0.5A₁₀₄ε|E₁₀₄ ²|, and U_(E105)=0.5A₁₀₅ε|E₁₀₅ ²|, relating to inlet part 103, narrow throat 104, and outlet part 105, correspondingly, one confusingly discloses that the electric field energy is not constant, namely, the field energy U_(E104) is higher than the field energies U_(E103) and U_(E105).

Looking ahead, the Venturi-like effect, applied to the electric and magnetic fields, will be explained and conceptually embodied in the present invention. It will be shown that the Venturi-like effect applied to electric or magnetic field has a fundamental sense in electromagnetic waves propagation and interference.

De Laval Effect

Reference is now made to prior art FIGS. 1c and 1d . FIG. 1c shows schematically a pipe 100 referred to the de Laval nozzle that, in principle, is similar to pipe 102 shown in FIG. 1b , but now the incoming fluid-flow 101 is sufficiently fast such that fluid 101 becomes substantially compressible-expandable. In this case, in an adiabatic process, the de Laval effect is observed. This is the effect of extension of fluid 101 in the divergent outlet part 142 resulting in a further decrease of the static pressure and temperature and a correlated increase of the flow velocity.

FIG. 1d illustrates schematically graphics of distributions of the fluid-flow 101's (FIG. 1c ) three parameters: velocity 150, static pressure 160, and temperature 170, each along the length of nozzle 100. A standard rocket convergent-divergent jet-nozzle 100 can be modeled as a cylinder 140 that leads to a constriction 141, known as the “throat”, which leads into a widening “exhaust bell” 142 open at the end. The location of the narrowest cross-section of the throat is called as the “critical condition” point 180. High speed and therefore compressible-expandable hot fluid 101 flows through throat 141, where the velocity picks up 151 and the pressure and temperature fall, 161 and 171 correspondingly. Hot fluid 101 exits throat 141 and enters the widening exhaust bell 142. It expands rapidly, and this expansion drives the velocity up 152, while the pressure and temperature continue to fall, 162 and 172 correspondingly. This jet-effect phenomenon of fluid 101 extra-acceleration at the expense of the fluid 101 heat energy, defined by the static pressure, temperature, and density, is applied to jet-engines, particularly to accelerate a rocket. A sharp slope of the static pressure, observed in throat 141, results in pressure waves, called Mach waves. An undesired influence of the Mach waves in the de Laval nozzle is described, for example, in U.S. Pat. No. 8,611,787 “Rocket nozzles for unconventional vehicles” by Bulman.

Looking ahead, the enhanced jet-effects: the de Laval jet-effect and the de Laval retarding-effect, both will be conceptually embodied in the present invention.

Ordinary Blowing Ventilator

FIG. 1e is a prior art schematic drawing of ordinary blowing ventilator 110 operating in open air space. Ordinary blowing ventilator 110, defined by the main functionality to launch a jetstream characterized by the flow headway-motion kinetic-power, has an inherent engine [not shown here] consuming either a power of burned fuel or an electrical power. Ordinary blowing ventilator 110 comprises blades 112, having an asymmetrical shape such that, when forcedly rotating in frontal plane 119 and covering effective cross-section 114, suck air portions 115.A from space “A1” located upstream-afore effective cross-section 114 and convert air portions 115.A into an accelerated jetstream 115.B entering space “B1” located downstream-behind effective cross-section 114. Space “A1”, comprising air portions 115.A subjected to the sucking and motion through effective cross-section 114, is bordered by streamlines, forming imaginary contours 116.A. The imaginary contours 116.A separate space “A1” from space “C1”, comprising air portions 115.C, drawn by moving air portions 115.A and flowing toward frontal plane 119 out of effective cross-section 114. Space “B1”, comprising jetstream 115.B, is bordered by streamlines, forming imaginary contours 116.B. The imaginary contours 116.B separate space “B1” from space “D1”, comprising air portions 115.D, drawn by jetstream 115.B and flowing downstream-behind frontal plane 119. A complicated motion of air portions 115.A, 115.B, 115.C, and 115.D comprises both: a headway-motion, i.e. a laminar component of motion aligned with the imaginary contours 116.A and 116.B having a prevalent direction along imaginary sagittal axis 111, and a whirling-motion, i.e. a turbulent component of motion, dominantly, whirling around imaginary sagittal axis 111. For the purposes of the present patent application, the term “sagittal axis” is applied to an axis co-directed with a prevalent direction of a flow headway motion. The mentioned term “streamlines”, applied to imaginary contours 116.A and 116.B, has a widened sense, spread to the streamlines projections on a plane comprising imaginary sagittal axis 111, for instance, either sagittal or transversal, meaning that there is no essential mass exchange between:

-   -   air portions 115.A of space “A1” and air portions 115.C of space         “C1”, and     -   helically whirling jetstream 115.B of space “B1” and air         portions 115.D of space “D1”.         The power, consumed by ordinary blowing ventilator 110 is         expended for:     -   the complicated motion of air portions 115.A, which then are         transformed into helically whirling jetstream 115.B;     -   the complicated motion of air portions 115.C, which then are         transformed into moving air portions 115.D;     -   the overcoming of air viscous-resistance; and     -   the compensation of inner resistance of the inherent engine.         Wherein the part of the power consumption, expended for the         overcoming of air viscous-resistance and compensation of inner         resistance of the inherent engine, dissipates in the acquired         warmth of outflowing air portions 115.B and 115.D.         Streamlines 116.A and 116.B constitute an imaginary         convergent-divergent tunnel, where, in addition to the mentioned         effect of flow complicated motion, powered by forcedly rotating         blades 112, the Venturi effect, described above referring to         FIG. 1b , occurring in an adiabatic process, is expected,         thereby saving the power for the additionally acquired         convective acceleration of jetstream 115.B. The velocity of         jetstream 115.B headway-motion is distributed on cross-section         118 non-uniformly. Shapes of forcedly rotating blades 112, on         the one hand, define the shapes of imaginary contours 116.A and         116.B, and on the other hand, define the jetstream 115.B         headway-motion velocity distribution on cross-section 118. The         resulting functionality net-efficiency of ordinary blowing         ventilator 110 is defined by the ratio of the kinetic-power of         launched jetstream 115.B headway-motion to the power, consumed         by the inherent engine of ordinary blowing ventilator 110.         Taking into the account the mentioned Venturi effect, the         resulting net-efficiency of ordinary blowing ventilator 110         interrelates with the Venturi effect efficiency.

The inventor points out and emphasizes that whereas the functionality net-efficiency of a blowing ventilator is provided, in particular, due to the Coanda-jet-effect, i.e. at the expense of ambient warmth, conditions, when the net-efficiency becomes higher than 100%, are not excluded. Looking ahead, in view of the description referring to FIGS. 7e and 7f of the invention, it will be evident to a person studied the invention, that such conditions are specified.

Phenomenon of Convective Self-Acceleration

FIG. 1f is a prior art schematic drawing of a body 12.0 blown by an initially laminar airflow having portion 12.2 enveloping body 12.0. It is assumed that a velocity of the airflow motion is much lower than 0.5 Mach, for instance, 1 m/sec. For simplicity and without loss of reasoning, consider a case when the body 12.0 corpus has at least partially airfoil shape providing for that ambient-adjoining sub-portions 12.5 and 12.6 of airflow portion 12.2 remain laminar at least upstream afore a frontal plane, crossing the body 12.0 corpus.

Here,

-   -   such a frontal plane is marked with the dotted line having         numeral 12.1;     -   dashed lines 12.3 and 12.4 are imaginary streamlines bordering         airflow portion 12.2 as a whole and being sufficiently far from         body 12.0 that allows to ignore the airflow streamlines minor         curving when bordering ambient-adjoining sub-portions 12.5 and         12.6; and     -   arrow 12.7 symbolizes a portion of downstream airflow, not         obligatorily laminar.

When flowing around body 12.0, ambient-adjoining sub-portions 12.5 and 12.6 of airflow portion 12.2 become subjected to reshaping and can be considered as moving through an imaginary tunnel, which is characterized by varying cross-sectional area. According to the mass conservation law, called also the equation of continuity: Aρu=Const, where ρ is the density of flux; u is the flux velocity, and A is the flux cross-sectional area, ambient-adjoining sub-portions 12.5 and 12.6 move faster than yet to be reshaped airflow portion 12.2 because the air density changes are minor at low airflow velocities and the sub-portions have the cumulative cross-sectional area smaller than the cross-sectional area of yet to be reshaped airflow portion 12.2. Therefore, the cumulative kinetic energy of ambient-adjoining sub-portions 12.5 and 12.6 is higher than the kinetic energy of oncoming airflow portion 12.2 yet to be subjected to the reshaping.

One of the key questions about the origin of flowing fluid portion acceleration is the following. At the expense of what kind of energy the sub-portions became accelerated, if the case is adiabatic? The answer to the question is the self-acceleration occurs at the expense of the internal heat energy of the flowing fluid portion itself, wherein the initial velocity of the flowing fluid portion plays a role of a “trigger-catalyst” defining an intensity of the self-acceleration, namely, a higher velocity results in a greater self-acceleration. The answer shows that the phenomenon of convective self-acceleration is inevitable for fluid flowing around a body with relatively low velocities in an adiabatic process, i.e. upon conditions usually provided in the actual practice.

The inventor points out and emphasizes that a portion of the flowing fluid may play the role of a body subjected to a blowing by another portion of the flowing fluid—this situation occurs, for instance, in acoustic waves.

Reference is now made again to prior art FIG. 1f , wherein now, the airfoil body 12.0 has a conductive shell, or, for simplicity, a shell made from a hypothetic super-conductor. When the electric flux Φ_(12.2), indicated by numeral 12.2, flows around body 12.0, a Venturi-like effect applied to the electric field is observed in an adiabatic process.

Namely, when flowing around body 12.0, ambient-adjoining sub-portions Φ_(12.5), indicated by numeral 12.5, and Φ_(12.6), indicated by numeral 12.6, of the electric flux Φ_(12.2) become subjected to reshaping and can be considered as flowing through an imaginary tunnel, which is characterized by varying cross-sectional area. According to the equation of continuity: Φ=AE_(A)=Const, where Φ is the electric flux, A is the cross-sectional area, and E_(A) is the effective electric field, measured in the cross-sectional plane, the ambient-adjoining sub-portions Φ_(12.5) and Φ_(12.6) of electric flux Φ_(12.2) are characterized by electric fields E_(12.5) and E_(12.6), both (and hence, the weighted average effective electric field) being higher than the electric field E_(12.2) of yet to be reshaped electric flux Φ_(12.2), i.e. E_(12.5)>E_(12.2) and E_(12.6)>E_(12.2), because the sub-portions have the cumulative cross-sectional area smaller than the cross-sectional area of yet to be reshaped flux Φ_(12.2). As the energy U_(E) of electric flux crossing the frontal area A is defined as U_(E)=0.5Aε|E_(A) ²|=0.5εE_(A)Φ, where ε is dielectric constant, therefore, the electric energy of ambient-adjoining sub-portions 12.5 and 12.6 is higher than the electric energy of original flux 12.2 yet to be subjected to the reshaping.

Again, one of the key questions about the origin of the electric energy self-increase is the following. At the expense of what kind of energy the sub-portions became of higher energy if the case is adiabatic? The inevitable answer to the question is the self-increase occurs at the expense of the universe background energy (at least at the expense of the latent electromagnetic energy) stored in the space occupied by the electric flux itself, wherein the initial electric field of the flux plays the role of a “trigger-catalyst” defining an intensity of the self-increase, namely, a higher electric field results in a greater self-increase. The answer shows that the phenomenon of self-increase is inevitable for flux flowing around a conductive corpus in an adiabatic process, i.e. upon conditions usually provided in the actual practice.

Seeing the similarity of behaviors:

-   -   on the one hand, of fluid flow flowing around an airfoil body         having a mechanical shell, and,     -   on the other hand, of electric flux flowing around an airfoil         body having a conductive shell,         for the purposes of the present invention, analogously to the         Coanda-jet-effect, the term “electromagnetic jet-effect” is         defined as a tendency of an electric field to be attracted to         and aligned with a surface, capable of an interaction with the         electric field, for instance, a conductive surface, wherein the         tendency is accompanied by the electric field to be specifically         increased at the expense of the universe background energy (at         least at the expense of the latent electromagnetic energy).

Airfoil Wing

FIG. 1g is a prior art schematic drawing of a classic airfoil profile of an airplane wing 10 in a sagittal plane. The wing profile is recognizable by a rounded leading edge, a convex profile contour, having smoothly curved, elongated sides: more convex and lesser convex, and a sharp trailing end. A horizontal oncoming air stream 12 runs on the rounded leading edge and flows around wing 10, thereby being divided into two laminarly moving portions: upper air flux 14 and lower air flux 15, both stalling at the sharp trailing end. The axis 11 of wing 10 is defined as separating the upper and lower fluxes. Axis 11 of wing 10 and the horizontal direction of oncoming air stream 12 constitute a so-called “attack angle” 13. The more convex upper side provides a slippery surface, and the lesser convex lower side, exposed to oncoming air stream 12 with attack angle 13, and so subjected to an impact by lower air flux 15, has thereby more frictional-dragging surface. The Coanda-effect is defined as a tendency of a fluid jetstream to be attracted to and aligned with a nearby airfoil surface. The well-known lift-effect of an airplane wing 10 arises due to the non-symmetrical profile of wing 10 when the upper side is more convex. Firstly, a lift-force is defined by attack angle 13, which redirects the flowing wind. Secondly, when attack angle 13 is equal to zero, wing 10, having an ideally streamlined contour, provides that the sliding upper air flux 14 and the impacting lower air flux 15, both subjected to the Coanda-effect operation, meet behind wing 10. Sliding upper air flux 14 and impacting lower air flux 15, flowing around wing 10, incur changes in their cross-sectional areas and are accelerated convectively according to the mass conservation law. Considering relatively low velocities, the varying cross-sectional areas result in that the sliding upper air flux 14 runs faster than the impacting lower flux 15. According to Bernoulli's principle, this results in less so-called static pressure on wing 10 from sliding upper flux 14 than the static pressure from the impacting lower flux 15. If upper flux 14 and lower flux 15 flow around wing 10 laminarly, the difference of the static pressures is defined as ΔP=C_(d)ρu²/2, where ΔP is the static pressure difference defining the lift-force, in particular, when attack angle 13 is equal to zero, C_(d) is the coefficient, depending on wing 10's non-symmetrical profile, p is the density of the air; and u is the velocity of the ambient airflow relative to wing 10. A wing, having an elaborated airfoil profile, provides for a gradual variation of the airflow static pressure along the profile's smoothly curved contour and, when flying with a certain velocity, results in a linear change of the airflow static pressure along the profile's smoothly curved contour, thereby satisfying a condition preventing an origination of turbulences. In practice, there are also turbulences and vortices of the fluxes, which are not shown here. The prevalent flows, turbulences and vortices result in a spatial distribution of the air static pressure, particularly, in a local static pressure reduction and local extensions of the flowing air. Consider an air portion flowing around wing 10, referring to the Clapeyron-Mendeleev law concerning a so-called hypothetical ideal gas state: P=ρR₀T/μ, where P is the gas static pressure, ρ is the gas density, T is the absolute temperature of the gas, μ is the gas molar mass, and R₀ is the universal gas constant. One could apply rough and more exact explanations for changes in the gas state parameters of the air portion flowing around wing 10.

Roughly, for the sake of estimation of a relatively slow wind tendency only, considering the flowing air as substantially incompressible gas, Gay-Lussac's law for an isochoric process interrelates the static pressure P and absolute temperature T by the equation ΔP/P=ΔT/T, i.e. the reducing static pressure is accompanied by the decreasing absolute temperature.

More exactly, for the wind at slow speeds as well as at higher speeds running, in general, at a non-zero attack angle 13, the air, being compressible-expandable as an ideal gas, flowing around wing 10, performs work W for the air portion volume extension, wherein the volume extension process is substantially adiabatic. The adiabatic extension results in a change of the portion of gas internal energy, accompanied by a static pressure reduction and temperature decrease. The work W performed by the wind portion of 1 mole flowing around wing 10 for the adiabatic process is defined as: W=C_(V)ΔT_(a), where C_(V) is the molar heat capacity for an isochoric process, and ΔT_(a) is the adiabatic temperature decrease of the considered air portion. The value of the adiabatic temperature decrease ΔT_(a)=T₂−T₁ is bonded with static pressure reduction by the relation: T₂/T₁=(P₂/P₁)^((j-1)/j), where P₁ and P₂ are the static pressures of the subject air portion before and after the adiabatic process correspondingly, and j is the adiabatic compressibility-constant, which is defined by molecular structure of gas, wherein the value j=7/5 is a good approximation for natural air as consisting dominantly of diatomic molecules. So, considering relatively low velocities, the Coanda-effect, occurring upon the convex side of wing 10, is accompanied by a kind of jet-effect, i.e. is accompanied by an observed acceleration of a wind portion and by the wind portion's static pressure and temperature decrease. Thus, the Coanda-effect and lift-effect are interrelated self-revealing-and-manifestations of the triggered jet-effect.

A well-known phenomenon of upper flux 14 adiabatic cooling at low-subsonic velocities is observed. Natural air is humid, and the local cooling, accompanied by the pressure reduction, acts, in particular, as a water condensation trigger. If the wind flows around a wing with an M-velocity equal to or higher than the Mach number (i.e. the speed of sound), a well-known phenomenon of shock sound-wave emission takes place. This shock sound-wave is not caused by wing vibration, but arises when myriad of acoustic waves become in-phase superposed thereby forming the resonance resulting in the shock sound-wave; moreover, it becomes evident that the shock sound-wave is originated at the expense of the internal heat energy of air and so is accompanied by the air temperature shock decrease, provoking the process of vapor condensation into water-aerosols.

FIG. 1h is a prior art schematic drawing of considerable amounts of water-vapor condense into water-aerosols 16.1 and sublimate into micro-flakes-of-snow 16.2, which are observed behind the high-speed aircraft's 16 wings' nozzles. One could note that the effect occurs at flow speeds substantially lower than the Mach number, i.e. it is not triggered by the mentioned phenomenon of shock sound-wave emission. This phenomenon explanation cannot be derived from the classical equations of fluid motion, predicting the extra-decrease of static pressure and temperature at transonic and supersonic velocities only. On the other hand, air-fluxes, which flow nearby around a body, become warmer and extra-warmed, when the body flies in air-environment with transonic, supersonic, and/or hypersonic velocities. A correct prediction of thermodynamic effects occurred in fluid flowing around a wing would provide an improved design of a wing shape to control and optimize the lift-effect.

There is, therefore, a need in the art for a method and apparatus to provide a correct optimal design of the wing shape to reach the most efficient and controlled lift-effect.

Point of Sail

The term “point of sail” is used to describe a sailing boat orientation with respect to a prevalent direction of the ambient wind.

Prior art FIG. 1i is a schematic illustration of points of sail. A sailboat exposed to ambient wind 18.0 in positions and orientations: 18.1, 18.3, 18.5, 18.6, 18.7, 18.9, 18.11, and 18.12 with respect to the prevalent direction of ambient wind 18.0 is shown schematically. The positions and orientations of the sailboat, i.e. the points of sail, are classified by groups, indicated by symbols “A”, “B”, “C”, “D”, and “E”. Group “A” is so-called “in irons” (into the wind) or “no-go zone”, group “B” is so-called “close-hauled”, group “C” is so-called “beam reach”, group “D” is so-called “broad reach”, and group “E” is so-called “running”.

A sailboat is a well-known example, showing that a passive sail, playing a role of a trivial nozzle, enables to move the sailboat at least partially in the upstream direction against ambient wind 18.0, for instance along a zigzag path. In other words, in fact, the passive sail exposed to ambient wind 18.0 produces “a net jet-thrust” against ambient wind 18.0. In simple words, in fact, the ambient wind 18.0 sucks the passive sail but not pushes it. Shaded sector 18.2 corresponds to the “no-go zone”, where the single passive sail, being in position and orientation 18.12 belonging to point of sail group “A”, does not provide a net jet-thrust in the upstream direction against ambient wind 18.0.

Point of sail “B”, called also “B”-point of sail, having the sailboat position and orientation 18.1, is shown also in enlarged view 18. Streamlines 18.13 show a windward wind flow aligned with the concave side of sail; streamlines 18.14 show a leeward wind flow subjected to the Coanda-effect and so moving along a curved trajectory adjoining the convex side of sail; a multiplicity of arrows 18.15 indicate “lift-forces”, in this case, directed horizontally, caused by the difference between static pressures at the concave and convex sides of sail; and arrow 18.16 indicates a portion of wind accelerated convectively, i.e. at the expense of the internal heat energy of wind. The convectively accelerated wind portion 18.16 acts on the sailboat by reactive force 18.17 according to Newton's Third Law. Reactive force 18.17 is vectored in the upstream direction. While lift-forces 18.15 become compensated dominantly by a stabilizing reaction of the sailboat's keel, which is not shown here, the reactive force 18.17 defines the sailboat headway motion primarily.

The effect of net jet-thrust against ambient wind is a kind of jet-effect; i.e. it is the effect of convective acceleration of a wind portion flowing along a curved trajectory adjoining the convex side of passive sail in point of sail “B” due to the Coanda-jet-effect, and in turn, the accelerated wind portion causes the net jet-thrust, according to Newton's Third Law. To move against the wind, the sail, characterized by point of sail “B” and orientation 18.1, must extract from the air the internal heat power, associated with the arisen reactive force 18.17, higher than the mechanical power of the oncoming wind 18.0 blowing the sail downstream away. In this case, one observes that the “drag-in-the-direct-sense”, determined by the cumulative resistance of the sailboat to the oncoming airflow due to the sailboat non-zero frontal cross-sectional area and due to the effect of so-called skin-friction, is weaker than the seemingly “negative drag”, determined by the jet-thrust.

The inventor takes note that, when tracing after a wind portion with respect to a system of coordinates linked with the wind portion yet to be accelerated due to the Coanda-jet-effect operation, one interprets the mentioned wind portion local acceleration as a peculiar shock-like wave propagating downstream, backward with respect to the headway motion of the sailboat.

For the purposes of the present invention, the introduced term “peculiar shock-like wave” should be understood as a fluid reaction originated by a local acceleration of a fluid portion in a prevalent direction.

In view of the foregoing description referring to prior art FIG. 1i , it will be evident to a person skilled in the art that two sailboats, both being positioned in “B”-point of sail, wherein one of the sailboats has position and orientation 18.1 and the other sailboat has position and orientation 18.11, when connected and consolidated together and thereby aggregated as a whole, provide a condition for a resultant net jet-thrust applied to the aggregation, directed straight against ambient wind 18.0. In this case, the ambient wind 18.0 just sucks the passive pair of sailboats.

The inventor points out and emphasizes that the phenomenon of net jet-thrust of sail in point of sail “B” occurs due to the self-acceleration of an airflow portion at the expense of the air portion's warmth. I.e., in other words, the net jet-thrust of sail in point of sail “B” occurs due the Coanda-jet-effect.

In spite of the fact that the effect of net jet-thrust against the ambient wind is widely used in cruising on water, the effect remains unused in the world industry.

There is, therefore, a need in the art for a method and apparatus to provide a proper analysis and optimal design of a system, implementing the kind of jet-effect providing the net thrust in the upstream direction, for a controllable use in industry.

Flying Bird

For the purposes of the present patent application, the inventor points out to a flying bird, to take note that the jet-effect is not so exotic, to emphasize the jet-effect potential efficiency, and to make clear that the Coanda-jet-effect is one of the primary and quintessential aspects of the present patent application. The inventor points out that a flying bird makes waving motions rather than rowing or pushing off motions by its wings. The waving can be interpreted as a booster of the Coanda-jet-effect as well as a source of forced elastic waves. The inventor points out to a flying bird, the wings waving of which is not so frequent but nevertheless is enviably efficient. In particular for a pigeon, while the wings waving velocity with respect to the bird body is about 1 m/sec only, the bird flying-acceleration in a horizontal direction up to seemingly-paradoxical high velocities, higher than 10 m/sec (actually, higher than 30 m/sec and even 40 m/sec), becomes reachable;—it confirms that the primary mechanism of the flying-acceleration is at least not the pushing off in the direct sense.

For a comparison, a flying relatively large bird, for instance, a golden-eagle, and a running cheetah, both overcome the air drag and support the upward and downward mobility (wherein the cheetah's vertical mobility is defined by a ground relief and small jumps of the cheetah's center of mass only). For simplicity of the comparison, ignore the sidelong (leftward and rightward) mobility. The flying golden-eagle, “pushing off” gaseous air (take note, the “pushing off” is not intensively-frequent), overcomes the air drag and supports the upward and downward mobility much easier and moves in the horizontal direction much faster, than the running cheetah pushing off a solid surface, wherein pushing off substantially more intensive-frequently providing for a velocity of paws with respect to cheetah's body being equal to the velocity of cheetah. At the first glance, this fact looks as mystery and confusingly-paradoxical. However, it becomes easily-explainable, if not to ignore the triggered Coanda-jet-effect as for the lift-force as well as for the forward motion acceleration (analogously as the net jet-thrust in the aforementioned example with the sailboat in “B”-point of sail described with the reference to FIG. 1i ). I.e. it becomes easily-explainable if the bird wing is interpreted as a sail oriented horizontally as “B”-point of sail to provide an upward-and-forward jet-thrust as seemingly “negative drag”. In spite of the fact, that the efficiency of net jet-thrust of the flying bird is attractively high, the phenomenon remains unused in the world industry.

Furthermore, a style of a flock of cranes flying is well-known. The style combines waving of wings, when the flying is accelerating, as well as wings gliding, when the flying is stabilized. This style prompts that:

-   -   on the one hand, there are no turbulent vortices behind the         gliding wings of the flying cranes and so the previous gliding         crane does not hinder but even helps to the next gliding crane         in lift and in jet-thrust; and     -   on the other hand, there is an interference of omnidirectional         waves generated by the waving wings of the cranes of flock,         thus, it is self-suggested the assumption that the flying cranes         use the constructive interference thereby helping to each other         in the waving-itself.         In spite of the fact that the cranes apply the cascaded         multi-stage repeating and thereby reinforcing the         Coanda-jet-effect for originating both: the lift-force and the         net jet-thrust during a long time, this technique remains unused         in the world industry.

There is, therefore, a need in the art for a method and apparatus to provide a proper analysis and optimal design of a system implementing the repeatedly reinforced Coanda-jet-effect of laminar moving fluid as well as the repeatedly reinforced constructive interference of waves in the fluid, both providing the scalable and controllable use of the acquired power in the industry.

In view of the foregoing description of subparagraph “Phenomenon of Convective Self-Acceleration” with the reference to prior art FIG. 1f , subparagraph “Airfoil Wing” with the reference to prior art FIG. 1g , and subparagraphs “Point of Sail” and “Flying Bird”, both with the reference to prior art FIG. 1i , it will be evident to a person skilled in the art that:

-   -   Regarding the well-known “ground-effect”, in contrast to the         well-known effect of proportional interrelation between the         lift-force and drag-force predicted for alone classic wing         flying in a free space, the “ground-effect”, at the first glance         characterized by a confusingly-paradoxical interrelation between         the lift-force and drag-force, namely, by the increased         lift-force and decreased aerodynamic drag (seemingly negative         friction), becomes explainable if one takes into account that,         when the classic wing is moving above and nearby a flat surface         of ground, a boosting of the Coanda-jet-effect upon the convex         upper surface of the wing is expected, and, as a result, the         additional lift-force in the vertical direction and the         additional net jet-thrust in the horizontal direction, both are         acquired due to the Coanda-jet-effect boosting; wherein the         seemingly aerodynamic drag reduction, actually, is the         additional net jet-thrust acquired due to the boosted         Coanda-jet-effect; and     -   Regarding the well-known Gray's paradox in relation to a dolphin         high-speed swimming, saying that, considering the water viscous         resistance and the dolphin's potential muscle power, the dolphin         swimming with the velocity ten times higher than expected is         confusingly-paradoxical, the Gray's paradox becomes solvable if,         in addition to the dolphin muscle power, one takes into account:     -   the dolphin epidermis hydrophobicity, resulting in a reduction         of the viscous skin-friction providing a so-called “free-slip”         condition of motion, and especially,     -   the dolphin body airfoil shape forming “B”-point of sail,         resulting in the net jet-thrust interrelated with the water         portions local acceleration (accompanied by the backward         peculiar shock-like and forced waves) originated due to the         Coanda-jet-effect (i.e. at the expense of the ambient water         warmth) which becomes triggered when the dolphin headway motion         is accompanied by the dolphin's body waving.         The inventor points out that the mentioned tenfold increase in         velocity corresponds to the increase in power by the factor         of 1000. This says that the combination of hydrophobicity,         shaping of a body, and a waving motion may become the         primary-decisive mechanism of motion that will be shown         hereinafter in the description referring to FIGS. 5c, 5d, 5f,         5g, 5h, 5i, 5j , and 5 k.

Tornado as a Kind of Jet-Effect

The inventor points out to the fact that a source of the natural tornado is two meeting relatively slow winds, resulting in that an arisen weak vortex is gradually transforming into a strong tornado. As well, the inventor takes note that the tornado brings rain, i.e. it condenses airborne vapors into water-aerosols and further into drops of rain. I.e. the tornado reduces the temperature down to the dew-point temperature even in a warm day. In other terms, the tornado, as an open thermodynamic system, decreases its entropy as well. This is an additional example, wherein the temperature of air is transformed into the kinetic energy of airflow. Hence, the natural tornado self-acceleration is a kind of the jet-effect. In spite of the fact, that the efficiency of the tornado jet-effect is attractively high, the phenomenon remains unused in the world industry.

Further, the inventor points out that the well-known Great Red Spot of Jupiter is a stabilized tornado having portions of gas having the static pressure of about 100 kPa and rotating with the velocity of about 180 m/sec. Looking ahead, in view of the description referring to FIG. 9e of the invention, it will be evident to a person studied the invention, that an artificially or naturally created tornado becomes stabilized when the effective velocity of a certain portion of rotating gas is reaching the specific M-velocity, depending on the effective adiabatic compressibility parameter of the gas.

As well, the inventor points out that the well-known Saturn's Hexagon is a stabilized tornado having built-in stabilized specific spatial distribution of velocities in the form of a regular hexagon. Looking ahead, in view of the description referring to FIG. 9e of the invention, it will be evident to a person studied the invention, that an artificially or naturally created tornado becomes stabilized and specifically shaped when the effective velocity of a certain portion of rotating gas is reaching the specific M-velocity, depending on the effective adiabatic compressibility parameter of the gas. Further, the inventor points out that the stabilized cycling motion can be transformed into a stabilized oscillating motion generating peculiar waves interfering constructively.

There is, therefore, a need in the art for a method and apparatus to provide a proper analysis and optimal design of a system implementing the tornado jet-effect providing the scalable and controllable use of the acquired power in the industry.

Betz s Law Applicability and Confusing-Paradoxical Approach

Betz's law, derived in frames of the continuum mechanics, is declared as applicable to a hypothetical incompressible fluid stream undergoing an isothermal process and indicates the maximum power that can be extracted from wind, considered as such a fluid stream. The maximum power is independent of the design of a wind turbine in open flow. The law is derived from the principles of conservation of mass and momentum of the fluid stream flowing through an idealized “actuator disk”, that can be imagined as effective cross-section covered by blades of the rotor, that extracts kinetic-power from the wind stream. According to Betz's law, no turbine can capture more than 16/27 (59.3%) of the kinetic-power in wind. The factor 16/27 (0.593) is known as Betz's coefficient.

One explains the Betz approach as follows. Consider that if all of the kinetic energy coming from the wind moving through a turbine's effective cross-section was extracted as useful energy the wind speed afterward would drop to zero. If the wind stopped moving at the exit of the turbine's effective cross-section, then no more fresh wind could get in—it would be blocked. In order to keep the wind moving through the turbine's effective cross-section, there has to be some wind movement, however small, on the other side with a wind speed greater than zero. Betz's law shows that as the fluid flows through a certain area, and when it slows from losing the kinetic energy to extraction from a turbine, it must spread out to a wider area. The mass conservation law and the energy conservation law, both applied to the hypothetical case of incompressible fluid stream undergoing an isothermal process, limit any turbine efficiency to 59.3%. The Betz limit has no dependence on the geometry of the wind extraction system; therefore, the cross-sectional area of the rotor may take any form, providing that the flow travels from the entrance to the exit and wherein the control volume has uniform entry and exit velocities. Any extraneous effects can only decrease the performance of the system (usually a turbine) since this analysis was idealized to disregard friction. Any non-ideal effects would detract from the energy available in the incoming fluid, lowering the overall efficiency.

To analyze an applicability of the Betz law in practice, reference is now made to prior art FIG. 1k , a schematic illustration of a wind turbine 17.1 built-in into cylinder 17.2 having real sidewalls and open butt-ends. A constant cross-sectional area 17.3 is equal to the effective cross-sectional area covered by rotor's blades and equals A₄₁. Cylinder 17.2 is exposed to ambient fluid stream, which, when yet to be subjected to the influence of cylinder 17.2 supplied by wind turbine 17.1, has density ρ₄₀ and velocity u₄₀. When portion 17.40 of the fluid stream becomes subjected to a substantial influence of cylinder 17.2 supplied by wind turbine 17.1, it is considered as composed of sub-portions 17.41 and 17.42. Sub-portion 17.41 of the fluid stream enters cylinder 17.2 with a certain headway-motion velocity, indicated by u₄₁. Sub-portion 17.42 of the ambient fluid stream has a cross-sectional area, indicated by A₄₂, equal to the difference between cross-sectional area 17.6 and cross-sectional area 17.3, and flows outside cylinder 17.2 with headway-motion velocity, indicated by u₄₂. As the condition of mass conservation must be satisfied, then ρ₄₀(A₄₁+A₄₂)u₄₀=ρ₄₁A₄₁u₄₁+ρ₄₂A₄₂u₄₂, where ρ₄₁ and ρ₄₂ are densities of sub-portions 17.41 and 17.42, correspondingly.

One expects that:

-   -   according to the mass conservation law, sub-portion 17.51 of the         fluid stream outflows from cylinder 17.2 with the headway-motion         velocity u₅₁, which is equal to the headway-motion velocity u₄₁         of entering sub-portion 17.41, while the fluid stream density         change is negligible;     -   blades of wind turbine 17.1, being subjected to the stream         action, are forcedly rotating and thereby generating an         electrical power; and moreover, outflowing sub-portion 17.51         gets also a certain rotational component of motion. I.e. the         resulting kinetic energy of the outflowing sub-portion 17.51         becomes increased with respect to the kinetic energy of entering         sub-portion 17.41, wherein, the kinetic energy increase is         defined by a value proportional to the second power of the         acquired rotational component of velocity.         This intuitive expectation is paradoxical from the point of view         of the Betz approach because one expects to harvest electrical         power and observe accelerated or at least not retarded         outflowing sub-portion 17.51 of the fluid stream simultaneously.

Some inventors have made claims of exceeding the Betz limit by using nozzles. Some examiners interpret it as misrepresenting the Betz limit by calculating only the area, covered by the rotor blades, and not the total input of air contributing to the wind energy extracted from the system. In other words, the idealized “actuator disk” is interpreted as wider than the cross-section, covered by the rotor blades; and the electrical power, produced by wind turbine 17.1, is harvested at the expense of the kinetic-power of fluid stream portion 17.40 as a whole.

Again, referring to prior art FIG. 1k , consider a hypothetically ideal wind turbine 17.1 exposed to an ambient fluid stream, having oncoming portion 17.40, wherein now, in general, cylinder 17.2 is either real or imaginary, i.e. sub-portions 17.41 and 17.51 may differ in velocity. For simplicity and without loss of reasoning, assume that outflowing sub-portion 17.51 does not get a rotational component of motion in the ideal case. The kinetic-power of fluid stream portion 17.50 as a whole, which being subjected to the influence of wind turbine 17.1, equals

(W ₅₁ +W ₅₂)=(½)×(ρ₅₁ A ₅₁ u ₅₁ ³+ρ₅₂ A ₅₂ u ₅₂ ³)

where indexes “51” and “52” indicate sub-portions 17.51 and 17.52 correspondingly, W₅₁ and W₅₂ are kinetic-powers, u₅₁ and u₅₂ are effective velocities, ρ₅₅ and ρ₅₂ are effective densities, and A₅₁ and A₅₂ are cross-sectional areas. The kinetic-power of fluid stream portion 17.40 as a whole, which being uniform and yet to be subjected to the influence of wind turbine 17.1, indicated by W₄₀, equals

W ₄₀=(½)×ρ₄₀(A ₅₁ +A ₅₂)u ₄₀ ³,

wherein u₄₀ and ρ₄₀ are correspondingly velocity and density of portion 17.40 as a whole. The velocity u₄₀ can be expressed via the effective velocities u₅₁ and u₅₂ in accordance with the mass conservation law as:

$u_{40} = {\frac{{\rho_{51}A_{51}u_{51}} + {\rho_{52}A_{52}u_{52}}}{\rho_{40}\left( {A_{51} + A_{52}} \right)}.}$

Comparing the kinetic-power of fluid stream portion 17.50 as a whole, equal to (W₅₅+W₅₂), with the kinetic-power of fluid stream portion 17.40 as a whole, equal to W₄₀, and, taking into account that the Betz approach assumes a hypothetically incompressible fluid i.e. ρ₄₀=ρ₅₁=ρ₅₂, one can derive that the kinetic-power difference (W₅₁+W₅₂)−W₄₀ is always a positive value. For instance, considering the case when the condition A₅₁=A₅₂ is satisfied, the difference is expressed as

(W ₅₁ +W ₅₂)−W ₄₀=(⅜)×ρ₄₀ A ₅₁(u ₅₁ +u ₅₂)(u ₅₁ −u ₅₂)².

The positive value on the right side of the equation says that the kinetic-power of flow portion 17.50 subjected to the influence of wind turbine 17.1 is increased with respect to the kinetic-power of flow portion 17.40 yet to be subjected to the influence of wind turbine 17.1. This result is confusing-paradoxical from the point of view of the Betz approach, assuming that the electrical power produced by wind turbine 17.1 is harvested from (i.e. by reducing) the kinetic-power of fluid stream portion 17.40 as a whole. Therefore, the Betz approach is not suitable to describe this case as well. Thereby, the approach, based on the interpretation of airflow or streaming water as a hypothetically incompressible fluid stream undergoing an isothermal process and wherein the control volume has uniform entry and exit velocities to apply Betz's law, is not adequate sufficiently and sometimes loses a practical sense.

There is therefore a need in the art for a method to provide a proper analysis of an aerodynamic system comprising a wind turbine, thereby allowing for an optimal design of an apparatus for stream energy use.

Vortex Tube

Prior art FIG. 1l is a schematic illustration of a well-known “vortex tube” also known as the Ranque-Hilsch vortex tube. It is a mechanical device 190 that separates a compressed gas 19.0 into hot 19.1 and cold 19.2 streams. It has no moving parts. Pressurized gas 19.0 is injected tangentially into a swirl chamber 19.3 and accelerates to a high rate of rotation. Due to a conical nozzle 19.4 at the end of the tube 19.5, only the outer shell of the rotated gas 316 is allowed to escape at the butt-end outlet 19.7. As a result, this portion 19.1 of the gas is found to have been heated. The remainder of gas 19.6, which performs an inner vortex of reduced diameter within the outer vortex, is forced to exit through another outlet 19.8. As a result, this portion 19.2 of the gas is found to have been cooled. In an exemplary application, if the entering air is compressed to 6.9 bars at 21° C., the hot stream may be of 76° C. and the cool stream may be of −34° C. There are different explanations for the effect and there is a debate on which explanation is best or correct. However, the absence of a strong theory of the phenomenon makes it difficult to design an optimal shape of the vortex tube to reach a substantially more effective use of the phenomenon.

There is, therefore, a need in the art for a method and apparatus to provide a correct optimal design of the vortex-tube inner shape to reach the most efficient cooling flows.

Phenomenon of Hydrophobicity and the Beverley Clock

Hydrophobicity is the physical property of a matter, frequently called a hydrophobic matter. The hydrophobic matter is composed of molecules which are seemingly repelled from a mass of water; and vice-versa, molecules of water are seemingly repelled from a mass of the hydrophobic matter. The reason for hydrophobic interaction is the large energy of the hydrogen bond [attraction] between water molecules, superior the energy of the interaction between the water molecules and molecules of the hydrophobic matter. Strictly speaking, there is no repulsive force involved; it is a lack of attraction between the inter-contacting water and hydrophobic matter. (In contrast, molecules of a so-called hydrophilic matter are attracted to water.)

If the hydrophobic matter and water, both are in the liquid state, the inter-repelling results in separating the hydrophobic matter and water by a boundary. On the one hand, the boundary is a hydrophobic surface repelling the water, and, on the other hand, the boundary is a water surface repelling the hydrophobic matter.

Reference is now made to FIG. 1m , a prior art schematic illustration of construction 15.0 representing the core mechanism of the well-known Beverley Clock, which being situated in a conditioned room and located within a closed “locker” and so, at the first glance, seeming as a closed system from the point of view of thermodynamics, is seemingly-confusing running, in principle, non-stop since 1864, despite never having been manually wound up. Construction 15.0 comprises tank 15.1 filled with water 15.2 and liquid hydrophobic oil 15.3. Because construction 15.0 is in the gravitational field of Earth and the density of liquid hydrophobic oil 15.3 is lower than the density of water 15.2, separating boundary 15.4 is horizontal and liquid hydrophobic oil 15.3 is above the separating horizontal boundary 15.4. Sinker 15.5 is floating nearby separating boundary 15.4 between hydrophobic oil 15.3 and water 15.2. The inter-contacting water 15.2 and liquid hydrophobic oil 15.3 are inter-repelling, i.e. molecules of both: water 15.2 and liquid hydrophobic oil 15.3 become subjected to the repellent action of separating boundary 15.4. The action causes the molecules, adjacent to separating boundary 15.4, to have a tendency to vector their velocities, resulting in an asymmetrisation of degrees of freedom of the molecules Brownian motion that is observed as acceleration of the molecules in a prevalent direction: upwards for hydrophobic oil 15.3 and downwards for water 15.2, thereby compressing distant layers of the liquids. In turn, when the degrees of freedom of the molecules Brownian motion are destabilized and changed, other molecules, at the moment belonging to the distant layers of the liquids, get a tendency to refill the freed niche of the degrees of freedom, i.e. the other molecules get an opposite asymmetrisation of their degrees of freedom. Thus, the Brownian motion of molecules becomes partially transformed into a convective motion, i.e. the molecules convective motion occurs at the expense of the degrees of freedom of the Brownian motion, i.e. at the expense of the liquids warmth. Thereby, the originated convective motion, consuming caloric from the liquids warmth, can be interpreted as a kind of jet-effect. The convection (accompanied by cooling, and so by changes of densities of the water and oil, and by associated changes in the Archimedes forces) moves sinker 15.5. The upwards and downwards swinging motion of sinker 15.5 wounds up the clock-mechanism 15.6, i.e. sets the Beverley clock going, while the consumed caloric is continuously refilled from the ambient air warmth.

Analogously (but without the obligatory presence of gravitation in a certain direction and without a sinker), two inter-contacting inter-repelling fluids are used in a modern well-known Atmos clock, which does not need to be wound up manually as well. Namely, a construction of the Atmos clock core mechanism [not shown here] has a hermetic box comprising an easily-evaporating ethyl chloride, being in the mixed aggregate state: saturated-gaseous and liquid. The Van der Waals attraction forces for the liquid aggregate state are stronger than the Van der Waals attraction forces between the liquid and saturated gas. This provides that the saturated-gaseous and liquid aggregate states of ethyl chloride play roles of the two inter-contacting inter-repelling fluids (the inter-repelling is due to a lack of attraction). The inter-repelling destabilizes the mixed state resulting in convection motion, dominantly, of the saturated gas. The convection motion occurs at the expense of the ethyl chloride warmth that is observed as self-cooling of the ethyl chloride. Again, the convective motion, consuming caloric from the fluids warmth, can be interpreted as a kind of jet-effect. The tendency to the convecting gas self-cooling is accompanied by a tendency to the convecting gas self-compression, according to the van der Waals law about the gas state. While the consumed caloric is continuously refilled from the ambient air warmth, the self-compression and decompression of gas set the Atmos clock going.

In view of the foregoing description of the Beverley Clock core mechanism (i.e. construction 15.0) referring to FIG. 1m , it will be evident to a person skilled in the art that the core mechanism comprises all the inherent attributes of a so-called heat-engine, open from the thermodynamics point of view, namely:

-   -   the liquid hydrophobic oil and water (when considered as matters         exposed to ambient warmth either substantially-constant or         varying), both playing the role of an inherent absorber of         warmth from the ambient air;     -   the hydrophobic surface, repelling nearby molecules, i.e.         triggering the jet-effect, i.e. triggering the convection         motion, accompanied by cooling, and thereby, playing the role of         an inherent so-called “cold sink”;     -   the moving sinker playing the role of an inherent so-called         working body, wherein the sinker's motion is a result of the         convective motion, accompanied by cooling, by changes of         densities of water and oil, and by associated changes in the         Archimedes forces; and     -   in the final analysis, the clock-mechanism, playing the role of         an outer object consuming power to perform a useful work;         wherein the energy acquired by the sinker (as working body) is         further divided between the sinker swinging and the         clock-mechanism wounding up.

In view of the foregoing description of the Atmos Clock core mechanism, it will be evident to a person skilled in the art that the aforementioned hermetic box can be filled with any easily-evaporating matter being in the mixed aggregate state: liquid and gaseous. In principle, water, when being in the mixed aggregate state: liquid and vapor, can play the role of such a matter capable of a self-cooling. Namely, a hermetic container, partially filled with liquid-water and partially filled with a substantially dry gaseous air, both being under the atmospheric pressure and having the same temperature, is an exemplary seemingly closed but in reality open system from the point of view of the thermodynamics. In this case, water molecules, which are spontaneously broken away from the surface of the liquid-water, become hydrophobic by definition [i.e., formally, attraction forces between under-surface liquid-water molecules having collective hydrogen bonds are stronger than the attraction forces between the liquid-water and the vapor (i.e. the water molecules which are broken away)]. This results in that, statistically, the spontaneously broken away water molecules do not return to the liquid-water while and until the humidity of the substantially dry air is lower than normal for the current temperature and static pressure within the hermetic container. The self-evaporation process (i.e. the self-separation between the liquid-water and vapor) is accompanied by a self-decrease in temperature (it is well-known that the water evaporation is an endothermic process). The self-decrease in temperature is a symptom of an openness of the thermodynamic system, wherein the openness is provided at least by the presence of the inter-contacting inter-repellent fractions: the liquid-water and vapor.

In spite of the fact that the effect of convection motion, in the final analysis, occurring at the expense of ambient warmth, is used for autosetting the clock going, the effect remains unused in an enlarged scale in the world industry.

There is, therefore, a need in the art for a method and apparatus to provide a proper analysis and optimal design of a system implementing the kind of jet-effect providing the motion due to the hydrophobicity for a scalable use in industry.

Diversity of Mechanisms of Fluid Repellence

-   -   Diamagnetism is the property of an object, which causes it to         create a magnetic field in opposition of an externally applied         magnetic field, thus causing a repulsive effect such that         diamagnetic materials are repelled by a permanent magnet.         Specifically, an external magnetic field alters the orbital         velocity of electrons around their nuclei, thus changing the         magnetic dipole moment in the direction opposing the external         field. Diamagnetic materials are materials with a magnetic         permeability μ being less than μ₀ (i.e. a relative permeability         μ/μ₀ being less than 1, or a susceptibility ξ=1−μ/μ₀ being         negative). Thus, an applied magnetic field creates an induced         magnetic field in the diamagnetic materials in the opposite         direction, causing repulsive force acting on molecules of the         diamagnetic material. Consequently, diamagnetism is a form of         magnetism that a substance exhibits only in the presence of an         externally applied magnetic field. In particular, liquid-water         is a diamagnetic material, and, correspondingly, a permanent         magnet is water-repellent. In other words, the permanent magnet         originates the phobic-repulsive van der Waals forces, and so, in         this sense, the permanent magnet is interpreted as hydrophobic.         The induced diamagnetism is generally a quite weak effect in         most materials (for instance, the susceptibility ξ=1−μ/μ₀ of         liquid-water is of about −7×10⁻⁷), although superconductors         exhibit a strong effect (with ξ=−1). From the energetic point of         view, a diamagnetic material (for instance, liquid-water), when         submerged in the magnetic field of the permanent magnet,         “mobilizes” the internal heat energy (i.e. the energy of         Brownian molecular motion) to induce the diamagnetic field         directed against the magnetic field. In other words, the         diamagnetic field energy is induced at the expense of the water         warmth. [For comparison, paramagnetic and ferromagnetic         materials are characterized by attraction to the permanent         magnet. A ferromagnetic material submerged in the magnetic field         of the permanent magnet “regularizes” domains thereby increasing         the magnetic field, again, at the expense of the ferromagnetic         material warmth, and, in the final analysis, at the expense of         the ambient warmth.]     -   Archimedes' principle states that the upward buoyant force that         is exerted on a body immersed in a fluid, whether fully or         partially submerged, is equal to the weight of the fluid portion         that the body displaces and acts in the upward direction at the         center of mass of the displaced fluid portion. A portion of the         fluid, identical to the displaced fluid portion, has a tendency         to occupy the origin space that yet to be occupied by the body.         In other words, the motions of the fluid molecules have a         tendency to be distributed as the Brownian motion distorted,         first, by the gravitational field, and second, by the immersed         body. The distorted Brownian distribution of molecular motions         is interpreted as distorted, and namely, reduced heat energy.         Again, from the energetic point of view, the buoyant action is         triggered by the gravitational field and occurs at the expense         of the internal heat energy of the fluid submerged in the         gravitational field. The fluid (for instance, water) repels the         body and the immersed body is interpreted as fluid-repellent in         this sense. In other words, the immersed body originates the         phobic-repulsive van der Waals forces, and so, the immersed body         is either hydrophobic, or oleophobic, or omniphobic.     -   Convective heat transfer, often referred to simply as         convection, is the transfer of heat from one place to another by         the movement of fluids. Convection is usually the dominant form         of heat transfer in liquids and gases. Although often discussed         as a distinct method of heat transfer, convective heat transfer         involves the combined processes of unknown conduction (heat         diffusion) and advection (heat transfer by bulk fluid flow). For         example, thermal expansion of fluids may force the convection.         In other cases, natural buoyancy forces alone are entirely         responsible for fluid motion when the fluid is heated, and this         process is called “natural convection”. An example is the draft         in a chimney or around any fire. In natural convection, an         increase in temperature produces a reduction in density, which         in turn causes fluid motion due to pressures and forces when         fluids of different densities are affected by gravity. For         example, when water is heated on a stove, hot water from the         bottom of the pan rises, displacing the colder denser liquid,         which falls. Thereby, a heating component submerged in water         repels adjacent fluid portions, i.e. the heating component         itself is interpreted as fluid-repellent: either hydrophobic, or         oleophobic, or omniphobic. In other words, the heating component         originates the phobic-repulsive van der Waals forces. Again, the         fluid repellency occurs at the expense of the heat energy,         which, first, is acquired by the adjacent fluid portion, and         then, become transformed into the kinetic energy of the         convective motion.         Thus, all the mentioned kinds of fluid repellence are         characterized by inserted spatial asymmetries of:     -   degrees of freedom of molecular motions, and     -   the phobic-repulsive van der Waals forces,         both causing a distortion of the Brownian distribution of the         fluid molecular motions, wherein the energy of the distorted         Brownian distribution is interpreted as composed of the reduced         actually-Brownian motion energy and energy of the fluid         molecular motion in a prevalent direction (for instance,         convective motion). In other words, the mentioned motion in the         prevalent direction occurs at the expense of the Brownian motion         energy (i.e. the heat energy) yet to be distorted.

Model Simplifications in the Continuum Mechanics

In order to describe both the Venturi effect and the de Laval effect, the flowing fluid is modeled in the classical fluid dynamics theory as hypothetically consisting of many small volume portions. This approach is described in book “The Feynman Lectures on Physics”, volume 2, chapter 40 “Flow of Dry Water” by Richard P. Feynman, Robert B. Leighton, and Matthew Sands, where the term “dry water” is applied to stress the model simplifications, namely:

-   -   first, the assumption that there are no viscous forces between         the fluid small volume portions;     -   second, the fluid small volume portions are connected spaces;     -   third, the fluid being studied is a continuum, i.e. it is         infinitely divisible and not composed of particles such as atoms         or molecules;     -   forth, the small volume portion boundaries are impermeable for         the fluid matter and impenetrable for temperature; and     -   fifth, the assumption that the static pressure, acting on the         small volume portions' boundaries and being the only reason of         mechanical forces, is an abstraction having no molecular nature,         and wherein the small portions' boundaries are hypothetically         inert to the fluid's inter-molecular forces, i.e. are not phobic         with repulsive forces and not sticking with attractive forces,         as soon as the problem is formulated in frames of the continuum         mechanics.         In other words, the simplifications are inherent assumptions in         the classical continuum mechanics theory, ignoring the molecular         structure of fluid and ignoring the static pressure as a         thermodynamic parameter interrelated with the fluid density and         temperature in accordance with the van der Waals law of the         fluid state. In this approach, the classical equations of fluid         motion are derived. In a particular case of hypothetically         inviscid flow, the classical equations of fluid motion, known         also as the Euler equations, are applied. For viscous flow, to         overcome said first simplification, the Navier-Stokes equations         are used. The Navier-Stokes equations are the Euler equations         modified by involving into the consideration the viscous forces         between the fluid small volume portions. Again, the viscous         forces are introduced irrelative to the viscosity effect         physical nature. In 2000, the problem of the Navier-Stokes         equation solution existence and smoothness became one of the         Millennium Goals formulated by the Clay Mathematics Institute.         It is noted in the “The Feynman Lectures on Physics”, volume 2,         chapter 40, cited above, that even in the simplest case of no         moving fluid, the equation of hydrostatics: −∇P−ρ∇ϕ=0, where ∇         is vector differential operator, P is the fluid static pressure,         ρ is the fluid density, and ϕ is the stand for the         potential-energy-per-unit-mass (for gravity, for instance, ϕ is         just gz, where g is the gravitational acceleration and z is the         height above the Earth's ocean surface level), in general, has         no solution, as soon as both: the pressure P and the density p         are spatially dependent and not interrelated in the mentioned         simplified approach of the continuum mechanics theory. To         facilitate a numerical analysis in practice and to overcome said         second simplification, the Navier-Stokes equation further         modifications (for example, the Spalart-Allmaras hypothetical         model of turbulences), assuming that the chosen fluid portions         could be dismembered into smaller connected spaces, are applied         to computational fluid dynamics. However, the third, fourth and         fifth simplifications remain inexact, making that the fluid         model loses physical sense for thermodynamic and kinetic theory         of matter and, as a result, the classical fluid model, on the         one hand, has not exact solutions for compressible fluids, and         on the other hand, leads to paradoxical solutions for         incompressible and inviscid fluids. For example, the d'Alembert         paradox, derived from the Euler equations, in particular, says         that a body, moving in an incompressible fluid, does not         experience a drag force as an impact effect. Describing this         paradox, for example, “Encyclopedia of Fluid Mechanics” by J. D.         Jacob, Department of Mechanical Engineering, University of         Kentucky, Lexington, Ky. 40506-0108, comments that “in the         18^(th) century, it was at odds with both observation and         intuition of flow about a body in motion”, and further defines         the term “drag” as primarily related to a viscosity phenomenon,         neglecting by the impact effect. The Navier-Stokes equation         having introduced viscous forces makes the d'Alembert paradox as         latent. To provide the principles of thermodynamics, one adds         equations of gas laws to the Euler system of equations and         further approximates the equations numerically.

There is, therefore, a need in the art for a method to provide a proper model of fluid motion to exclude paradoxical results and the paradoxical nonexistence of an exact solution relating thermodynamic parameters and velocity of fluid-flow.

One usually explains the Venturi effect by Bernoulli's principle, applied to a hypothetical incompressible fluid streaming within a pipe, having free-slip inner walls. In this case, Bernoulli's principle can be written in the following form:

$\begin{matrix} {{{{\rho_{c}\frac{u_{c}^{2}}{2}} + P_{c} + G_{c}} = {P_{0} = {Const}}},} & {{Eq}.\mspace{14mu} \left( {1a} \right)} \end{matrix}$

where, considering the fluid unit volume portion moving through a certain cross-section marked by index “c”, u_(c) is the fluid portion velocity that is inversely-proportional to the fluid portion's associated cross-sectional area A_(c), P_(c) is the static pressure on the fluid portion's boundaries, ρ_(c) is the fluid portion density assumed to be identical for any cross-section, and G_(c) is the fluid unit volume portion potential energy stored in the gravitational field of the Earth. The potential energy G_(c) near the Earth ground can be well-approximated by z_(c)ρ_(c)g, where z_(c) is the effective height of the fluid portion above the Earth's ocean surface level, g is the is the gravitational acceleration near the Earth's ocean surface level, and P₀ is the stagnation pressure. P₀ is also called either the total pressure or the flow head, and it remains constant along the fluid motion direction.

To describe the de Laval effect phenomenon, the Euler equations are used as references to derive the differential equation:

$\begin{matrix} {{\frac{dA}{A} = {\left( {M^{2} - 1} \right)\frac{du}{u}}},} & {{Eq}.\mspace{14mu} \left( {1b} \right)} \end{matrix}$

where A is the flow cross-section area, u is the flow velocity corresponding to the cross-section area, and M is the flow M-velocity, i.e. the velocity measured in Mach numbers. As the speed of sound in a fluid depends on the fluid temperature, so the value M is temperature dependent. Equation (1b) says that if the flow is relatively slow (i.e. M<1), then the narrowing of the flow cross-section (i.e. negative dA) corresponds to acceleration of the flow (i.e. positive du); and if the flow is relatively fast (i.e. M>1), then the widening of the flow cross-section (i.e. positive dA) corresponds to acceleration of the flow (i.e. positive du). Computational fluid dynamics using the classical Euler equations provide numerical solutions for spatial distributions of the fluid velocity, static pressure, and temperature within the de Laval nozzle. The distributions are illustrated schematically in FIG. 1c . In FIG. 1c the fluid flow M-velocity 150 at the critical condition point 180 is given by M=1. On the one hand, equation (1b) says that utilizing a pipe having no a divergent part, the flow cannot be accelerated up to velocities higher than the velocity of sound, i.e. up to M>1. On the other hand, equation (1b) allows for the acceleration of the fluid flow in a converging nozzle up to the velocity of sound, i.e. M≤1.

In practice, firstly, the de Laval effect occurs on M-velocities substantially lower than M=1; and secondly, utilizing a pipe having no a divergent part, airflow cannot be accelerated up to velocities higher than approximately only half of the velocity of sound in the air. Thus, the two mentioned equations (1a) and (1b), derived from the mentioned approach, which assumes that the fluid consists of many small volume portions having neither permeable boundaries nor molecular structure, have certain restrictions of applicability.

To design a shape of a convergent-divergent jet-nozzle one applies the following equation:

$\begin{matrix} {{\frac{A}{A_{*}} = \left\lbrack \frac{1 + {\frac{j - 1}{2}M^{2}}}{1 + \frac{j - 1}{2}} \right\rbrack^{\frac{j + 1}{2{({j - 1})}}}},} & {{Eq}.\mspace{14mu} (1)} \end{matrix}$

derived basing on equation (1b), where A* is the minimal cross-sectional area at the critical condition point 180, and j is the gas adiabatic compressibility-constant.

To design a rocket jet-nozzle for fluid portion acceleration from slow speeds to high-subsonic speeds, and even up to speeds higher than the speed of sound, some designers use modern software for computational fluid dynamics analysis where the two equations: (1a) for the slow flow and (1b) for the fast flow, are programmed accordingly. The fact, that the two equations have restrictions of applicability at least because the equations allow for different ranges of the flow velocity, makes the analysis inappropriate to simulate the expected jet-effect properly. As a result, sometimes users are not satisfied by calculated solutions because the algorithm “may experience robustness problems for slightly compressible fluids”, as commented in the software help document: “CFX_PRE” Release 14.5-214 of ANSYS, Inc. and its subsidiaries and affiliates, Page 215, Lines 6-7.

Moreover, for a case of “slightly compressible” slow-flowing gas, the software help document recommends using “the Incompressible option” (“CFX_PRE”, Page 215, Line 7). However, a use of the Incompressible option for a slow-flowing gas, for which the static pressure re-distribution is allowed, is paradoxical, because an adiabatic process is described by the equation Pv^(j)=Const, where P is the gas portion's static pressure, v is the gas portion volume, and j is the gas adiabatic compressibility-constant, and so a relative change of the gas portion volume is of the same order of value as a relative change of the static pressure, namely,

$\frac{dv}{v} = {{- \frac{1}{j}}{\frac{dP}{P}.}}$

There is, therefore, a need in the art for a method and apparatus to provide a proper analysis and optimal design of the convergent-divergent jet-nozzle shape to reach the most efficient jet-effect.

Furthermore, to formalize the viscous forces influence, the Navier-Stokes equation of fluid motion is expressed via a tensor of viscosity coefficients characterizing the fluid. This formalization of fluid flowing around a body using such a tensor of viscosity coefficients is not completely adequate at least because:

-   -   the viscous forces influence is dependent on material of the         body submerged in the flowing fluid (for instance, a hydrophobic         or hydrophilic body submerged in moving water); and     -   the viscosity coefficients should be functions of the spatially         distributed temperature of flow as the flow temperature is         interrelated with the spatially distributed static pressure of         flow, which, in turn, is interrelated with the spatially         distributed velocity of flow.

There is, therefore, a need in the art for a proper equation of fluid motion, generalized in the frames of the kinetic theory of matter, taking into account kinds of the jet-effect (for instance, the Coanda-jet-effect and the phenomenon of hydrophobicity), and so adequately applicable to any flowing fluid and any material of a body submerged in the flowing fluid, for instance, to moving water flowing around a hydrophobic body.

Wave Equation in Frames of the Continuum Mechanics

The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in physics—such as sound waves, light waves and water waves. It arises in fields like acoustics, electromagnetics, and fluid dynamics. In 1746, d'Alembert discovered the one-dimensional wave equation, and within ten years Euler discovered the three-dimensional wave equation.

The wave equation is a hyperbolic partial differential equation. It typically concerns a time variable t, one or more spatial variables x₁, x₂, . . . , x_(n), and a scalar function x=x(x₁, x₂, . . . , x_(n), t), whose values could model, for example, the mechanical displacement of a wave. The wave equation for x is:

$\begin{matrix} {{\frac{\partial^{2}x}{\partial t^{2}} = {c^{2}{\nabla^{2}x}}},} & {{Eq}.\mspace{14mu} \left( {2a} \right)} \end{matrix}$

where ∇² is the spatial Laplacian and c is a fixed constant. Solutions of this equation describe the propagation of disturbances out from the region at a fixed speed in one or in all spatial directions, as do physical waves from a plane or localized sources; the constant c is identified with the propagation speed of the wave. This equation is linear. Therefore, the sum of any two solutions is again a solution: in physics, this property is called the superposition principle.

The principle of superposition is one of the most general laws in many sections of physics. In the simplest formulation, the principle of superposition is:

-   -   The effect of a few external forces on a particle is the vector         sum of the effects of these forces; and     -   Any complex motion can be divided into two or more simple ones.

The wave equation alone does not specify a physical solution; a unique solution is usually obtained by setting a problem with further conditions, such as initial conditions, which prescribe the amplitude and phase of the wave. Another important class of problems occurs in enclosed spaces specified by boundary conditions, for which the solutions represent standing waves, or harmonics, analogous to the harmonics of musical instruments.

The elastic wave equation in three dimensions describes the propagation of waves in a stationary isotropic homogeneous elastic medium, wherein in the case of an electromagnetic field, the medium is a portion of the universe characterized by the universe background matter and the universe background energy. While linear, this equation has a more complex form than the equations given above, as it must account for both longitudinal and transverse motion:

ρ{umlaut over (x)}=f+(λ+2μ)∇(∇·x)−μ∇×(∇×x)  Eq. (2b),

where:

-   -   λ and μ are the so-called Lame parameters describing the elastic         properties of the medium, where μ is the shear viscosity         coefficient and λ is the dilatational viscosity coefficient;     -   ρ is the density,     -   f is the source function (driving force), and     -   x is the displacement vector with respect to the stationary         medium.

Note that in this equation, the force and the displacement, both are vector quantities. Thus, this equation is sometimes known as the vector wave equation.

Taking note that the wave equation formulation remains in frames of the continuum mechanics, the medium characteristics defining the wave, namely, the velocity of sound, the density, and the coefficients Lame, the all are as kinds of normalizing constants only, and so do not provide a description of an energetic interaction between the wave and medium. This, in particular, is a reason of at least the following confusing paradoxes:

-   -   considering a wave as a process transmitting energy from a         wave-source to a point of observation with the velocity of         sound, a map of superposed two waves has points of destructive         and constructive interference, wherein an observer confusingly         discloses that the seemingly energy local annihilation occurs in         the destructive interference points and the seemingly energy         local excess arises in the constructive interference point, i.e.         the wave energy as though is not constant more and a seemingly         “tunnel effect”, that brings to mind something that defined in         the quantum mechanics, takes place;     -   if to implement a superposition of two identical but anti-phase         waves along a wave-guide, a complete-like annihilation becomes         expected;     -   if to implement a superposition of two (or several) identical         in-phase waves along a waveguide, an excessive-like cumulative         power becomes expected, because the wave power is proportional         to the second power of the wave amplitude, so N in-phase         superposed amplitudes correspond to the cumulative power         increase by the factor N² (as, for instance, shown in book “The         Feynman Lectures on Physics”, volume 1, chapter 30 “Diffraction”         by Richard P. Feynman, Robert B. Leighton, and Matthew Sands),         moreover,     -   the wave equation (2a) and/or (2b), when assuming, on the one         hand, variations of displacement and, on the one hand, a         constant density of the medium, inevitably runs on a violation         of the law of continuity;     -   it is assumed that, for fluids, the shear viscosity coefficient         Lame u equals zero, however, as the wave processing in the         fluids assumes local accelerating motions of the fluid portions,         which [the accelerating motion] is inevitably interrelating with         varying of the fluid portions cross-sectional area, in addition,         the phenomenon of an adiabatic convective self-acceleration due         to the Coanda-jet-effect is inevitable as well, as described         hereinbefore referring to FIGS. 1b and 1f , in turn, the         inevitably varying cross-sectional area is interpreted as an         inherent local shear motion, hence, in order to formalize the         inherent shear motion in frames of the continuum mechanics, one         must use the non-zero shear viscosity coefficient Lame u; and     -   in a well-known so-called “thermo-acoustic heat engine”, an         acoustic resonator plays the role of a “cold sink” that doesn't         follow from the wave equations (2a) and (2b).

Moreover, the legendary story about mystery experiments with Tesla's mechanical oscillator claimed as Tesla's earthquake machine, if not explained especially, remain unbelievable.

There is, therefore, a need in the art for a proper approach to the wave equation, generalized in the frames of the kinetic theory of matter, and thereby providing for the physical sense; as well, there is, therefore, a need in the art for a proper analysis of resonating waves to provide for efficient and controllable practical use of elastic waves constructive interference in industry.

In relation to electromagnetic oscillators, Tesla coils are unique in the fact that they create extremely powerful electrical fields. A seemingly significant power disbalance between input and output in the famous experiments with Tesla coil, if not explained especially, remains confusingly-paradoxical. Today, the main use of the Tesla coil is for entertainment and educational displays, and small coils are still used today as leak detectors for high vacuum systems only.

There is, therefore, a need in the art for a proper understanding of resonating waves to provide for efficient and controllable practical use of constructive interference of electromagnetic waves and/or electric signals in industry.

Radiation Pressure

In electrodynamics, radiation pressure is the pressure exerted upon any surface exposed to electromagnetic radiation. The radiation pressure implies an interaction between electromagnetic radiation and bodies of various types, including clouds of particles or gases. The electromagnetic radiation pressure is determined in Maxwell's theory by the so-called Poynting vector or, strictly speaking, the time-averaged Poynting vector. Considering an electromagnetic wave, the Poynting vector is proportional to the vector multiplication of the electrical field by the magnetic field of the electromagnetic wave, so the time-averaged Poynting vector is oriented to the direction of electromagnetic wave propagation and the magnitude of the time-averaged Poynting vector is proportional to the time-averaged intensity of the electromagnetic wave. The forces generated by the radiation pressure are generally too small to be detected under everyday circumstances; however, they do play a crucial role in some settings, such as astronomy and astrodynamics; furthermore, for example, a so-called solar sail of spacecraft is based on the effects of the Sun's radiation pressure.

In acoustics, acoustic radiation pressure, called also sound radiation pressure, or, briefly, sound pressure, is the time-average excess pressure on an obstacle exposed to the sound. The acoustic radiation pressure is determined by the pulse wave transmitted per unit time per unit area of obstruction and determined by the so-called Umov-Poynting vector, as the Poynting vector, but generalized for the case of acoustic waves propagating in a homogeneous elastic fluid medium. A redirection of the Umov-Poynting vector results in the acoustic radiation pressure, in particular:

-   -   The acoustic radiation pressure generated by the acoustic beam:         -   having a confined front area of a plane wave,         -   propagating in an infinite undisturbed environment, and         -   being incident on a fully reflecting flat surface at the             right angle,     -   (i.e. when the Umov-Poynting vector is subjected to redirection         on 180°)     -   is called Langevin radiation pressure; and     -   At normal incidence on a flat surface fully reflecting a portion         of an omnidirectional sound (i.e. when the Umov-Poynting vector         is subjected to omnidirectional scattering, caused by         non-linearity of the medium, resulting in the effective         redirection of the scattered Umov-Poynting vector on 180°), the         acoustic radiation pressure is called Rayleigh radiation         pressure.

The pressure of sound radiation is the effect of the second order; so, in zero gravity, one can design an acoustic pusher for stabilizing objects in indoor space and for pumping of fluids.

Bernoulli Theorem

In contrast to a popular description of Bernoulli's principle as a simplification of the Euler equation of momentum conservation originally allowed for an inviscid flow and further applied to an exclusively-incompressible fluid, as made, for example, in the “Encyclopedia of Fluid Mechanics” by J. D. Jacob cited above, “The Feynman Lectures on Physics”, volume 2, chapter 40, also cited above, demonstrates the Bernoulli theorem proof basing on general assumptions thereby showing the Bernoulli theorem widened sense.

For the purposes of the present patent application, in contrast to the term “Bernoulli's principle”, applied to describe a hypothetical particular case of the Euler equations, the term “Bernoulli theorem” is applied to the proven interrelation of flow characteristics.

Prior art FIG. 2 is a schematic illustration of stationary fluid flow streamlines 20 forming walls 24 of an imaginary pipe. Consider a fragment 23 of the imaginary pipe that has open ends: inlet 21 and outlet 22. The imaginary pipe walls 24 by definition are impermeable, as soon as they are formed by streamlines 20; and the shape of walls 24 is not restricted regarding constriction or stretching. The fluid may be compressible-expandable and viscous as a real fluid; and, one assumes for simplicity that the fluid matter is subjected to neither chemical reactions nor phase changes within the pipe fragment 23. Inlet 21 area is A₁, where the fluid has inner-static-pressure P₁, density ρ₁, and velocity u₁. The area of outlet 22 is A₂, where the fluid has inner-static-pressure P₂, density ρ₂, and velocity u₂. After a short-time interval T, a portion of the fluid entering inlet 21 has mass m₁ calculated as m₁=ρ₁A₁u₁τ. A mass m₂ leaves the pipe fragment 23 through outlet 22, i.e. m₂=ρ₂A₂u₂τ.

The law of flow mass conservation requires that m₁=m₂=m, thereby,

m=ρ ₁ A ₁ u ₁τ=ρ₂ A ₂ u ₂τ  Eq. (3a).

The equation of continuity, namely: ρ₁A₁u₁=ρ₂A₂u₂, follows from (3a).

Note that the entering mass has the gravitational potential energy, that near the ground of the Earth can be well-approximated by G₁=z₁ mg; while this mass leaving the pipe fragment 23 has the gravitational potential energy G₂=z₂ mg, where z₁ and z₂ are correspondingly inlet 21 and outlet 22 cross-sections' effective heights above the Earth's ocean surface level.

On the other hand, one can calculate work, done by the fluid flow static pressure. The work at inlet 21 equals dW₁=P₁A₁u₁τ, meaning that the flow mass acquires the energy portion dW₁; and the work at outlet 22 equals dW₂=P₂A₂u₂τ, meaning that the flow mass losses the energy portion dW₂.

Add the work dW₁ to the potential and kinetic energies of the mass portion at inlet 21 in order to define the total energy of the entered mass portion, namely:

$U_{1} = {{{dW}_{1} + G_{1} + \frac{{mu}_{1}^{2}}{2}} = {{P_{1}A_{1}u_{1}\tau} + {z_{1}m\; } + \frac{{mu}_{1}^{2}}{2}}}$

Analogously, add the work dW₂ to the potential and kinetic energies of the mass portion at outlet 22 in order to define the total energy of the mass leaving portion, namely:

$U_{2} = {{{dW}_{2} + G_{2} + \frac{{mu}_{2}^{2}}{2}} = {{P_{2}A_{2}u_{2}\tau} + {z_{2}m\; } + \frac{{mu}_{2}^{2}}{2}}}$

Considering an adiabatic process, i.e. conservation of the total energy in the pipe fragment 23, one applies the energy conservation law requiring that the entering energy U₁ must be equal to the leaving energy U₂, i.e.

$\begin{matrix} {{{P_{1}A_{1}u_{1}\tau} + {z_{1}m\; } + \frac{{mu}_{1}^{2}}{2}} = {{P_{2}A_{2}u_{2}\tau} + {z_{2}m\; } + \frac{{mu}_{2}^{2}}{2}}} & {{Eq}.\mspace{14mu} \left( {3b} \right)} \end{matrix}$

Dividing the components of the equation (3b) on the value of mass m defined in equation (3a), one obtains the following equation:

$\begin{matrix} {{{\frac{P_{1}}{\rho_{1}} + {z_{1}} + \frac{u_{1}^{2}}{2}} = {\frac{P_{2}}{\rho_{2}} + {z_{2}} + \frac{u_{2}^{2}}{2}}},} & {{Eq}.\mspace{14mu} \left( {3c} \right)} \end{matrix}$

from which the well-known Bernoulli theorem formulation follows, namely: the value P_(i)/ρ_(i)+z_(i)g+u_(i) ²/2 is constant along any streamline of a fluid flow, i.e.

$\begin{matrix} {{\frac{P_{i}}{\rho_{i}} + {z_{i}} + \frac{u_{i}^{2}}{2}} = {Const}} & {{Eq}.\mspace{14mu} (3)} \end{matrix}$

The constant Const on the right side of equation (3) performs the total energy of the fluid portion unit mass moving along a streamline, wherein the items: P_(i)/ρ_(i), z_(i)g, and u²/2 define kinds of energy-per-unit-mass of the fluid portion, namely: P_(i)/ρ_(i) interrelates with the internal heat energy stored in molecular Brownian random motion and interactions, wherein, according to the kinetic theory of ideal gas, the ratio P_(i)/ρ_(i) is defined as proportional to the gas temperature, z_(i)g defines the potential-energy-per-unit-mass stored in the Earth's gravitational field, and u²/2 defines the kinetic-energy-per-unit-mass. In hydrodynamics, one normally assumes that the liquid density ρ is not varying. In this hypothetical particular case, equation (3) can be rewritten in terms of pressure as: P_(i)+ρz_(i)g+ρu_(i) ²/2=P₀, where P₀ is the total pressure or the flow head being constant along any streamline of the incompressible liquid, ρu_(i) ²/2 is the partial dynamic pressure, P_(i) is the partial inner-static-pressure provided by the fluids molecules [note that the classical continuum mechanics theory, and in particular, the hydrodynamics does not refer to a molecular structure of matter], and ρz_(i)g is the partial potential-static-pressure provided by the Earth's gravitational field.

Considering the ratio P_(i)/ρ_(i) as a measure of fluid's internal energy, the Bernoulli theorem proof is based on the laws of the energy conservation and matter continuity and has not especial demands on viscosity and compressibility-expandability of the considered fluid. The Bernoulli theorem proof is general and does not conflict with the thermodynamic and kinetic theory of fluid. Thus, the Bernoulli theorem, as a form of the energy conservation law, is applicable for any fluid that may be compressible-expandable and viscous as a real fluid. An important feature of the proof is the assumption that imaginary fragment 23 is a flow portion, but not a real pipe.

Prior art FIG. 3 shows a fragment of pipe 33, having real walls 34. When one ignores turbulences caused by walls 34 and the heat exchange between the walls and fluid, without loss of generality, fragment 23 of the imaginary pipe (FIG. 2) is built-in into real pipe 33. Nonetheless, real walls 34 being sticking for the fluid's molecules, causing, in general, an origination of turbulence and the heat exchange between the walls and fluid, such that the energy conservation, written as equation (3), becomes not perfectly exact; the Bernoulli theorem may play a role of a criterion of adequacy for the equation of fluid motion applied, in particular, to convergent-divergent jet-nozzle design and analysis as well as for a computational fluid dynamics numerical solution.

Equation (1a) is a particular case of the Bernoulli theorem applied to a hypothetical incompressible fluid flow. Also, only the particular case of the Bernoulli theorem applied to a hypothetical incompressible fluid flow can be derived from the Euler equations. In fact, the mentioned simplifications of continuum mechanics render the Euler and Navier-Stokes equations as having no exact solutions; and the Euler and Navier-Stokes equations numerical approximation, in the general case, conflicts with the Bernoulli theorem. Thus, the Euler and Navier-Stokes equations may be applicable to an ideal case, for which the effects of molecular interactions, at least such as diffusion and/or heat exchange between the fluid portions and/or the viscous fluid motion inherently accompanied by the diffusion, are negligible.

For the purposes of the present patent application, the term “Bernoulli theorem” is applied as more correct, to stress the proven interrelation expressed as equation (3), than the term “Bernoulli's principle”, assuming a hypothetical particular case of the Euler equations and expressed in the form of approximated equation (1a).

There is, therefore, a need in the art for a method and apparatus, corresponding to strongly proved criteria, applicable to slow as well as to fast flowing real compressible-expandable fluids, and providing a correct optimal design of the convergent-divergent jet-nozzle in order to reach the most efficient jet-effect.

SUMMARY OF THE INVENTION Unity and Novelty of the Invention

Generally, the unity and novelty of the invention are in a method providing for a specific actually-airfoil shaping and covering of a body submerged in a forcedly or naturally moving fluid, wherein the specific shaping and covering allows to harvest a useful-beneficial power from the ambient medium heat using an enhanced jet-effect, in particular, the Coanda-jet-effect reinforced repeatedly and the waving jet-effect reinforced by constructive interference, wherein the logic to reinforce wave power of elastic waves is spread also to electromagnetic waves.

More particularly, the unity and novelty of the invention provide for the following.

The methodological unity of the present invention is in use of a novel method for computational fluid dynamics applied to a flowing fluid, composed of moving and interacting molecules, wherein, in contrast to the continuum mechanics approach, the fluid static pressure, temperature, density, and flow velocity are defined in terms of the kinetic theory of matter. The method provides for a numerical estimation of spatially distributed parameters: the three components of the velocity-vector, the temperature, the density, and the static pressure of the moving fluid; wherein, taking into the consideration a molecular structure of the fluid matter, the method allows for a designing of elaborated airfoil and, in particular, hydrophobic corpuses and corpuses comprising specifically shaped actually-airfoil tunnels.

The phenomenological unity and novelty of the present invention is in a use of an enhanced jet-effect that is specified as an efficient transformation of the fluid internal heat energy, performed as kinetic energy of the molecules Brownian random motion, into the fluid jetstream kinetic energy, performed as kinetic energy of the molecules motion in a prevalent direction. The transformation is caused by the Coanda-jet-effect operation. In particular, when the molecules motion in the prevalent direction is an oscillating motion, the Coanda-jet-effect operation performs the waving jet-effect resulting in elastic waves propagation.

The implementation unity of the present invention is in the novel specific actually-airfoil shaping of bodies submerged in the flowing fluid. Wherein, on the one hand, the mentioned properties of fluid matter contacting with the bodies' surfaces, and, on the other hand, the bodies' specific actually-airfoil shapes defined and calculated according to the novel method, altogether are resulting in an enhanced jet-effect, observed as an effect of increased acceleration of a fluid portion at the expense of the fluid matter warmth. Namely, the specific actually-airfoil shaping is such that the bodies' surfaces act on the flowing fluid portion according to the Coanda-jet-effect operation causing transformation of the fluid portion's internal heat energy into the fluid portion's additional acquired kinetic energy. In other words, the Coanda-effect operation transforms a part of the kinetic energy of the fluid molecules Brownian random motion [i.e. the heat energy], into the kinetic energy of the molecules motion in a prevalent direction [i.e. into either the acquired kinetic energy of a jetstream and/or the acquired wave power of an acoustic wave]. In a more general case, when the fluid flow is turbulent, comprising whirling groups of molecules, the Coanda-effect operation results in partial aligning also of the turbulent motion of the whirling groups of molecules with the body's surfaces, that is observed as an increase of the effective velocity of the flow portion, accompanied by the portion's inner turbulence decrease, as the fluid portion passes nearby the body. Thus, this results in an increase of the fluid portion's kinetic energy also at the expense of the fluid portion's inner turbulent energy.

-   -   In a case, wherein the fluid is water and the body's surface is         hydrophobic, the water portions are subjected to an acceleration         that can be utilized at least to reduce a skin-friction         resistance to provide a free-slip condition of motion;     -   in a case, wherein the fluid is a substantially         compressible-expandable gas, such as air at high velocities, the         specific shaping results in a convergent-divergent flowing,         accompanied by an enhanced jet-effect, that can be utilized at         least for an efficient harvesting of electricity using either a         wind turbine, capable to transform mechanical motion of flow         into electricity, and/or a Peltier element, capable to operate         as a thermoelectric generator producing electricity from the         temperature difference caused by the jet-effect; and     -   in a case, wherein the originated motion of fluid is an         oscillating motion inherently accompanied by propagating waves         accompanied by the waving jet-effect, the waving jet-effect         reinforced repeatedly by constructive interference of the waves         can be utilized at least for an efficient harvesting of         electricity using a detector of waves as a power converter;         wherein the logic is spread also to electromagnetic waves.

Primary Basic Features of the Present Invention

One of the primary features of the present invention is that, in contrast to the classical approach of continuum mechanics, the terms “fluid”, “flow velocity”, “temperature”, “static pressure”, and “density” are defined taking into the consideration a molecular structure of a substance according to the kinetic theory of matter. Namely, the term “fluid” is defined as a substance composed of moving and interacting molecules, the term “flow velocity” relates to a prevalent motion of molecules, the term “temperature” is defined by the molecules random motion as a measure proportional to the average molecular kinetic energy of the molecules Brownian random motion, the term “static pressure” is defined as a measure of the randomly moving molecules cumulative impact, and the term “density” is defined as a measure of the molecules concentration and mass, equal to said molecular fluid mass per unit volume.

Another primary feature of the present invention is that the specific M-velocity is defined as a characteristic of the molecular composition of the fluid.

Yet other one primary feature of the present invention is that an apparatus, shaped specifically, is defined as inherently submerged in a flowing fluid, having at least a specific so-called adiabatic compressibility parameter, and the definition of the specific actually-airfoil shape of the apparatus's corpus is accompanied by the definition of the specific properties of the molecular fluid, altogether, allowing for an optimized implementation, in general, of the Coanda-effect, and, in particular, of the de Laval effect. Wherein the de Laval effect should be understood in a widened sense as comprising both: the de Laval jet-effect, defined as an effect of flow extra-acceleration, and the de Laval retarding-effect, defined as an effect of flow extra-slowing.

A further feature of the present invention is that, in contrast to the classical approach of continuum mechanics, the terms “drag”, “skin-fiction”, “osmotic-like effect”, and “viscosity” are defined, referring to the kinetic theory of matter. Namely:

-   -   the drag is an effect of asymmetrical, disbalanced impact of         molecules, observed when a shape of a fluid portion, flowing         around a body corpus, is subjected to a deformation, such that         the drag-effect is defined as a cumulative effect comprising         stagnation-effects and the Coanda-effect;     -   the skin-friction is an effect of fluid molecules sticking to a         nearby wall, resulting in a specific spatial distribution of         moving-small-portions velocities, when the moving-small-portions         flow in a boundary layer adjacent to the nearby wall;     -   the osmotic-like effect is defined as an effect of exchange of         molecular matter and heat between moving-small-portions; and     -   the effect of viscosity is defined as a cumulative effect         comprising the skin-friction effect and the osmotic-like effect;

An additional feature of the present invention is that, in contrast to the classical approach of electrodynamics, the term “vacuum” is redefined as “filled” by the universe background matter and by the universe background energy, comprising at least:

-   -   the energy of gravitational field,     -   the so-called dark energy,     -   the internal heat energy stored in the neutrino gas interpreted         in terms of the kinetic theory of matter, and     -   the latent electromagnetic energy, hidden by the so-called         destructive interference, to which the background         electromagnetic radiation is subjected,         in accordance with the modern consensus of scientists.

Principal Objects

Accordingly, it is a principal object of the present invention:

-   -   to overcome the limitations of existing methods and apparatuses:         -   for designing actually-airfoil profiles of birdlike wings;         -   for designing actually-airfoil convergent-divergent             jet-nozzles, providing the enhanced jet-effect;         -   for designing in-line arranged sequences of elemental             jet-boosters, providing the Coanda-jet-effect reinforced             repeatedly and thereby resulting in jet-thrust reinforced             repeatedly, correspondingly; and         -   for designing in-line arranged sequences of elemental             jet-boosters, destined for triggering the waving jet-effect             reinforced repeatedly by constructive interference of forced             in-phase acoustic waves; and     -   to provide improved methods and apparatus for efficient use of         the desired jet-effect, namely, the Coanda-jet-effect, and/or         the de Laval jet-effect, and/or the waving jet-effect for         either:         -   increasing efficiency of vehicle jet-engines, and/or         -   harvesting electrical energy from fluid warmth, and/or         -   increasing efficiency of cooling flows, and/or         -   water harvesting from air.             It is an object of the present invention to provide methods             and apparatus for:     -   an enhanced jet-effect implementation at high-subsonic         velocities avoiding the unwanted phenomenon of the Mach waves         emission;     -   jet-effect use at high-subsonic velocities avoiding the         phenomenon of shock sound-wave emission;     -   jet-effect use in jet-boosters and rocket nozzles at         low-subsonic, high-subsonic, transonic, supersonic, and         hypersonic velocities;     -   design of an actually-airfoil wing, improved by jet-effect         efficiency;     -   design of a vortex tube, improved by cooling efficiency;     -   design of actually-airfoil convergent-divergent jet-nozzles         providing for a jet-effect applied to electricity producing from         a fluid warmth using classic at least one of a wind-turbine, a         hydro-generator, a turbo-generator, and a Peltier element [i.e.         a thermoelectric generator] as well as using a modified improved         wind-turbine, constructed according to the principles of the         present invention to operate under a fast airflow;     -   design of hydrophobic jet-gears applied to electricity producing         from water warmth using at least one of a hydro-generator and a         Peltier element;     -   design of convergent-divergent jet-nozzles applied to water         harvesting from air;     -   design of a vehicle jet-engine, having an improved         net-efficiency;     -   more reliable design of elaborated actually-airfoil bodies;     -   multi-stage cascading the Coanda-jet-effect operation by         sequential cascading of airfoil bodies; and     -   multi-stage enforcing the waving jet-effect operation by         implementing constructive interference of waves, either elastic         and/or electromagnetic.

In one exemplary embodiment, a method is disclosed for computational fluid dynamics; wherein the method is based on generalized equations of fluid motion derived from conservation laws, and laws of thermodynamics and the kinetic theory of matter. The generalized equations of fluid motion have an exact solution, the adequacy of which is confirmed by both: the Bernoulli theorem and the van der Waals law of gas state. The method is proper for numerical simulations:

-   -   of fluid headway flows at low-subsonic, high-subsonic,         transonic, supersonic, and hypersonic velocities, as well as     -   of fluid oscillations accompanied by acoustic waves,         and applicable to almost incompressible fluids as real liquids         as well as to compressible-expandable fluids as real gases.

In another exemplary embodiment, a fluid-repellent jet-gear submerged in a fluid is disclosed. The fluid-repellent jet-gear has an asymmetrically shaped corpus comprising an outer layer contacting with the fluid, wherein the outer layer is made from a fluid-repellent material, triggering a phobic-repulsing jet-effect, thereby enabling motion at the expense of the internal heat energy of the fluid.

In one further exemplary embodiment, a convergent-divergent jet-nozzle is disclosed. The convergent-divergent jet-nozzle has a specifically shaped inner tunnel, providing linearly increasing the gas M-velocity along the line of gas motion; wherein the improved linearity at least in an essential M-velocity range comprising the specific M-velocity is a criterion of the convergent-divergent jet-nozzle tunnel shape optimization according to an exemplary embodiment of the present invention.

In yet one exemplary embodiment, a two-humped airfoil wing design is disclosed. The two-humped airfoil wing provides increased lift-effect at high-subsonic transonic, supersonic, and hypersonic velocities.

In one other exemplary embodiment, a flying capsule is disclosed, having a specifically shaped inner tunnel and airfoil outer profile; wherein when fast-flying, the variable cross-sectional area of the tunnel results in an enhanced jet-effect.

In still another exemplary embodiment, an aggregation of circumferentially arranged elemental jet-boosters is disclosed, representing a vortex generator providing acceleration of sub-portions of circulating ambient-adjoining convergent-divergent jetstreams in a positive feedback loop, thereby resulting in that the sub-portions of circulating ambient-adjoining convergent-divergent jetstreams become moving with de Laval M-velocities triggering alternating both: the de Laval-like jet-effect and the de Laval-like retarding-effect, thereby stabilizing an effective M-velocity alternating above and below the specific M-velocity. The disclosed aggregation of circumferentially arranged elemental jet-boosters as vortex generator is further used as a principal component of the following disclosed derivative applications: an electricity generator of high efficiency, a humidity condenser of high intensity, as well as a flying-saucer of high mobility. Furthermore, the circulating sub-portions of ambient-adjoining convergent-divergent jetstreams become oscillating resulting in extra-intensive acoustic waves (which, when the circumferential arrangement is regularly equidistant, become in-phase superposed thereby causing constructive interference) accompanied by the extra-enforced waving jet-effect, wherein the extra-increased wave power is further used for electricity producing.

In a further one exemplary embodiment, an aggregation of a laminar flow maker, a pipe having an enhanced convergent-divergent jet-nozzle tunnel, and an improved wind-turbine is disclosed, representing a jet-transformer converging the heat power into the electrical power.

There has thus been outlined, rather broadly, the most important features of the invention in order that the detailed description thereof that follows hereinafter may be better understood.

Additional details and advantages of the invention will be set forth in the detailed description, and in part will be appreciated from the description, or may be learned by practice of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

In order to understand the invention and to see how it may be carried out in practice, a preferred embodiment will now be described, by way of a non-limiting example only, with reference to the accompanying drawings, in the drawings:

FIG. 1a is a prior art schematic drawing of chiral molecules;

FIG. 1b is a prior art schematic drawing of the convergent-divergent Venturi tube;

FIG. 1c is a prior art schematic view of the convergent-divergent de Laval nozzle;

FIG. 1d is a prior art schematic illustration graphics of gas velocity, static pressure, and temperature distributions within the de Laval convergent-divergent jet-nozzle;

FIG. 1e is a schematic drawing of a prior art ordinary blowing ventilator;

FIG. 1f is a prior art schematic drawing of a body blown by an airflow portion;

FIG. 1g is a schematic drawing of a classical prior art profile of an airplane wing;

FIG. 1h is a schematic drawing of considerable amounts of water-aerosols and micro-flakes-of-snow, which are observed behind the high-speed aircraft's wings;

FIG. 1i is a prior art schematic illustration of points of sail;

FIG. 1k is a prior art schematic illustration of a wind turbine, built-in into a cylinder;

FIG. 1l is a prior art schematic illustration of the Ranque-Hilsch vortex tube;

FIG. 1m is a prior art schematic illustration of the Beverley Clock;

FIG. 2 is a prior art schematic illustration of fluid motion in an imaginary flow tube;

FIG. 3 is a prior art schematic illustration of fluid motion in a real pipe;

FIG. 4 is a schematic illustration of a box having two modules;

FIG. 5a is a schematic illustration of a small portion of fluid;

FIG. 5b is a schematic illustration of a fluid small portion adjacent to a body;

FIG. 5c is a schematic illustration of a fish's squama surface fragment hypothetical interpretation, in accordance with the principles of the present invention;

FIG. 5d is an illustration of a shaped body made from a hydrophobic material and submerged in water;

FIG. 5e is a schematic illustration of a convex-concave corpus.

FIG. 5f is a schematic illustration of a wheel-gear-like configured overall shape, having a sectional profile similar to a circle-saw, comprising fragments made from a hydrophobic material;

FIG. 5g is an illustration of an exemplary aggregation comprising a set of many hydrophobic jet-gears;

FIG. 5h is a schematic isometry of a hydrophobic-propeller submerged in water;

FIG. 5i is a schematic illustration of a hydrophobic-spiral;

FIG. 5j is a schematic isometry of a pair of hydrophobic-propellers operating as hydrophobic-engine;

FIG. 5k is a schematic illustration of a pair of unbroken spirals;

FIG. 5l is a schematic illustration of a generalized generator;

FIG. 5m is a schematic illustration of a motionless gravity-jet engine;

FIG. 6a is a schematic illustration of an optimized convergent-divergent jet-nozzle, constructed according to the principles of the present invention;

FIG. 6b is a graphical representation of air velocity, static pressure, and temperature distributions along an optimized convergent-divergent jet-nozzle, constructed according to the principles of the present invention;

FIG. 6c is a schematic illustration of an exemplary profile of optimized tunnel;

FIG. 6d is a schematic illustration of an exemplary profile of optimized tunnel;

FIG. 6e is a schematic illustration of an exemplary profile of optimized tunnel;

FIG. 6f is a schematic illustration of an optimized inverse convergent-divergent jet-nozzle, constructed according to the principles of the present invention;

FIG. 6g is a graphical representation of air velocity, static pressure, and temperature distributions along an optimized inverse convergent-divergent jet-nozzle, constructed according to the principles of the present invention;

FIG. 6h is a schematic illustration of a two-stage convergent-divergent jet-nozzle, constructed according to the principles of the present invention;

FIG. 7a shows comparative graphs of the dependencies of the nozzle extension ratio vs. the airflow M-velocity, calculated by the classical and suggested models;

FIG. 7b is a schematic illustration of a compressor supplied by an optimized convergent-divergent jet-nozzle, constructed according to the principles of the present invention;

FIG. 7c is a schematic sectional view of a flying capsule, constructed according to the principles of the present invention;

FIG. 7d is a schematic sectional view of a flying capsule, constructed according to the principles of the present invention;

FIG. 7e is a schematic drawing of an improved blowing propeller, constructed according to the principles of the present invention;

FIG. 7f is a schematic drawing of an improved sucking propeller, constructed according to the principles of the present invention;

FIG. 8a is a schematic illustration of an actually-airfoil wing blown by wind;

FIG. 8b is a schematic illustration of a flying airfoil body;

FIG. 8c is a schematic illustration of a flying airfoil body;

FIG. 8d is a schematic illustration of flying arranged airfoil bodies;

FIG. 9a is a schematic illustration of a sequential cascade of airfoil bodies;

FIG. 9b is a schematic illustration of an in-line cascade of rings having airfoil walls;

FIG. 9c is a schematic illustration of two Archimedean screws having airfoil walls;

FIG. 9d is a schematic illustration of a circulating cascade of airfoil bodies;

FIG. 9e is a schematic illustration of airfoil rings, arranged circumferentially;

FIG. 9f is an adiabatic aerodynamic system comprising airfoil rings, arranged circumferentially, and wings, providing a lift-force;

FIG. 9g is a schematic drawing of an improved wind-turbine, constructed according to the principles of the present invention;

FIG. 9h is schematic side and front views of an improved wind-turbine;

FIG. 9i is a schematic illustration of a jet-transformer;

FIG. 10 is a schematic illustration of a block-diagram of the suggested method according to the principles of the present invention; and

FIG. 11 is a table showing several equations.

All the above and other characteristics and advantages of the invention will be further understood through the following illustrative and non-limitative description of preferred embodiments thereof.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

The principles and operation of a method and an apparatus according to the present invention may be better understood with reference to the drawings and the accompanying description, it being understood that these drawings are given for illustrative purposes only and are not meant to be limiting. The detailed description of the preferred embodiments is divided between two paragraphs: “Generalized Equations of Molecular Fluid Motion” and “Jet-Effect Embodiments”, each having sub-paragraphs.

Generalized Equations of Molecular Fluid Motion

FIG. 4 is a schematic illustration of an ideal thermo-isolated box 400, having two modules 401 and 402, separated by an ideal wall 403 having no weight, being freely-movable and easily-deformable. Thus, wall 403 may freely change the shapes and volume proportions of modules 401 and 402. Modules 401 and 402 are filled with portions of the same gas, having the same static pressure P₄₀₁=P₄₀₂, but different densities ρ₄₀₁>ρ₄₀₂ and absolute temperatures T₄₀₁<T₄₀₂, such that satisfying the condition ρ₄₀₁T₄₀₁=ρ₄₀₂T₄₀₂. It is expected that separating wall 403 will not move and will be not deformed because the static pressures P₄₀₁ and P₄₀₂ on both sides of wall 403 are identical. However, if wall 403 is withdrawn, then diffusion will start. This imaginary experiment says that the presence or absence of isolating wall 403 changes the situation, and the two neighboring portions of gas could accelerate each other by osmotic-like pressures if the portions have the same static pressure and differ in density and temperature. Modelling a molecular fluid as aggregated from many stationary and moving small-portions, the described hereinbelow interpretation of the molecular fluid portions' boundaries as sensitive to the temperature and density of surroundings as soon as the boundaries consist of the same molecular matter as the considered fluid, is one of the primary teachings of the present invention.

FIG. 5a is a schematic illustration of a small portion of molecular fluid, for simplicity, having the shape of a cubic portion 500. Cubic portion 500 occupies the space defined by point coordinates 501(x, y, z), 502(x+Δx, y, z), 503(x, y+Δy, z), and 504(x, y, z+Δz), where Δx, Δy, and Δz are the distances between points 501 and 502, 501 and 503, and 501 and 504 correspondingly. Small portion 500 is composed of molecules moving randomly and in a prevalent direction, i.e. portion 500 is sufficiently small, such that having no a group of molecules whirling and making a complete rotating cycle within portion 500. Consider the cumulative force acting on portion 500. In the absence of gravitational forces, the fluid inner-static-pressure at any point of the fluid is the same in any direction; and the cumulative force on cubic portion 500, is defined by the fluid inner-static-pressure change from point to point. For simplicity, let the pressure change in the direction of the x-axis 505 only. The pressure on the left face, having points 501(x, y, z), 503(x, y+Δy, z), and 504(x, y, z+Δz), makes the force 506 equal to P_(in)ΔyΔz, where P_(in) is the fluid inner-static-pressure at the left face from outside of cubic portion 500; and the fluid inner-static-pressure on the opposite right face makes the force 507 equal to −[P_(in)+(∂P_(in)/∂x)Δx]ΔyΔz. Therefore, the resulting force is −(∂P_(in)/∂x)ΔxΔyΔz. If one also assumes that the fluid inner-static-pressure changes in the two remaining orthogonal directions, one can see that the pressure cumulative force per unit volume is −∇P_(in), where ∇ is the vector differential operator. The spatial change of the molecular fluid inner-static-pressure P_(in) must be considered as interrelated with the molecular fluid density ρ and absolute temperature T variations in accordance with the thermodynamic and kinetic theory of matter.

A generalized method for modeling an equation of fluid motion, comprising consideration of momentum conservation, mass conservation, and energy conservation, wherein the fluid molecular structure is taken into the account, is a subject of the present invention.

Inner Pressure and Momentum Conservation

Considering fluid portion 500, occupying a certain volume V, the Newton Second Law or the conservation of momentum says that the cumulative force acting on portion 500, i.e. the variation of the momentum in the volume, must be due to the inflow or outflow of momentum through the closed surface S of portion 500 plus the forces acting on portion 500 by the fluid surrounding:

$\begin{matrix} {{{\frac{\partial}{\partial t}{\int{\rho \; {udV}}}} = {{- {\oint_{S}{\rho \; {{uu} \cdot {ndS}}}}} - {\oint_{S}{PndS}}}},} & {{Eq}.\mspace{14mu} (5.1)} \end{matrix}$

where dS is the surface differential, n is the unit vector normal to surface differential dS, and ρ, u, and P are functions of spatial coordinates; wherein ρ is the fluid portion 500 density, u is the fluid portion 500 velocity-vector having absolute value u and being a measure of the molecular fluid molecules motion in a prevalent direction in addition to the random Brownian motion, and P is the cumulative-inner-static-pressure acting on the boundaries of portion 500; wherein in contrast to the classic approach of continuum mechanics, the fluid portion 500's boundaries have molecular structure, and P is as a thermodynamic parameter interrelated with the fluid temperature, density, and gravity. The kinetic theory of ideal gases defines this relation for a stationary case in the absence of gravity as P_(ideal)=NkT_(s)/V_(s), where P_(ideal) is the static pressure of an ideal gas, V is the considered volume, N is the number of molecules in considered portion 500 of the ideal gas, k is the Boltzmann constant, and T_(s) is the absolute temperature of the stationary ideal gas. The interrelation between thermodynamic parameters in the case of a hypothetical ideal gas can also be represented by the Clapeyron-Mendeleev gas law: P_(ideal)=ρ_(s)R₀T_(s)/μ, where ρ_(s) is the stationary ideal gas density, R₀ is the universal gas constant, and μ is the molar mass of the gas. Considering a real gas, the van der Waals approach bonds the static pressure of real gas P_(Waals) acting on a stationary wall with the static pressure P_(ideal) defined in the kinetic theory of ideal gas, namely:

$\begin{matrix} {{P_{ideal} = {\left( {P_{Waals} + \frac{a}{V_{s}^{2}}} \right)\frac{V_{s} - b}{V_{s}}}},} & {{Eq}.\mspace{14mu} \left( {5.2a} \right)} \end{matrix}$

where P_(Waals) is the van der Waals static pressure of real gas, acting on a stationary wall; constant b has the physical sense of excluded volume because of the presence of the particles in the volume; and constant a defines the attraction forces between the real gas molecules. So, the van der Waals equation of state for real gas is written as:

$\begin{matrix} {{{\left( {P_{Waals} + \frac{a}{V_{s}^{2}}} \right)\frac{V_{s} - b}{V_{s}}} = \frac{\rho_{s}R_{0}T_{s}}{\mu}},} & {{Eq}.\mspace{14mu} \left( {5.2b} \right)} \end{matrix}$

The general enough theory of molecular fluid by van der Waals is qualitatively reasonable for the liquids as well. For the purposes of the present patent application, the van der Waals equation (5.2b) should be understood in a wider sense, allowing for the van der Waals parameters a and b to be variable, thereby making the equation (5.2b) appropriate for rigorous quantitative calculations applied to both: real gases and liquids, and thereby, generalizing the van der Waals equation of state for a molecular fluid.

In contrast to the defined pressure P_(Waals) acting on a stationary wall, being hypothetically inert to the fluid's molecules forces, i.e. being not phobic with repulsive forces and not sticking with attractive forces, the cumulative-inner-static-pressure P in equation (5.1) is acting on the fluid portion 500's boundaries, which, on the one hand, have the same inter-molecular attraction properties as the surrounding matter, and, on the other hand, may be not stationary, but be subjected to deformations and acceleration.

First, consider a static case in the absence of gravitational forces, when portion 500 is sufficiently far from a body having real walls. In this particular case, when portion 500, as stationary-small-portion, is not subjected to any acceleration and is affected by a stationary-effect only, the static pressure in equation (5.1) has the meaning of the inner-stationary-static-pressure defined for the static case. This pressure, indicated by P_(s), as a measure of the fluid molecules cumulative stationary-impact on imaginary boundaries of stationary-small-portion 500, is expressed as the following stationary equation:

$\begin{matrix} {P_{s} = {P_{Waals} + {\frac{a}{V_{s}^{2}}.}}} & {{Eq}.\mspace{14mu} \left( {5.2c} \right)} \end{matrix}$

Taking into the account equation (5.2c), the van der Waals equation (5.2b), written in the form expressing the inner-stationary-static-pressure, takes the following form:

$\begin{matrix} {{P_{s} = \frac{\rho_{S}r_{s}R_{0}T_{s}}{\mu}},} & {{Eq}.\mspace{14mu} \left( {5.2d} \right)} \end{matrix}$

where r_(s) is the compression ratio V_(s)/(V_(s)−b), which represents how much the real fluid is compressed in comparison with a hypothetical ideal gas. For example, the assumption that the parameter b, quantifying the excluded volume, equals V_(s) leads to the infinite compression ratio r_(s) that corresponds to a hypothetical absolutely incompressible liquid. Equation (5.2d) allows considering the real fluid's inner-stationary-static-pressure P_(s) as the static pressure of the ideal-like gas having specific fluid constant R_(s) defined as R_(s)=r_(s)R₀/s.

Taking into the consideration the definitions of the inner-stationary-static-pressure P_(s), compression ratio r_(s), and real molecular fluid as the ideal-like gas having specific fluid constant R_(s), the van der Waals equation of state for a molecular fluid, written in the form expressing the inner-stationary-static-pressure, gets the form, similar to the Clapeyron-Mendeleev gas law, namely:

P _(s)=ρ_(s) R _(s) T _(s)  Eq. (5.2e).

In the case of an ideal gas, the sense of stationary equation (5.2e) becomes identical with the Clapeyron-Mendeleev gas law.

The value R_(s)T_(s) has the physical sense of the characteristic heat portion per unit mass, indicated by Q_(s), stored in fluid stationary-small-portion 500's molecular Brownian random motion, related to degrees of freedom causing the fluid molecules cumulative stationary-impact defining the inner-stationary-static-pressure P_(s), and satisfying equation (5.2e), namely: Q_(s)=R_(s)T_(s)=P_(s)/ρ_(s), and P_(s)=ρ_(s)Q_(s).

The defined pressure P_(s) can be decomposed into the following three components: the static pressure P_(ideal) defined in the kinetic theory of ideal gas, and two additive partial components defining the molecular fluid compression depending on the van der Waals parameters a and b. The two additive partial components are: compression pressure-“a”, indicated by P_(a), and compression pressure-“b”, indicated by P_(b). The indexes “a” and “b” are associated with the van der Waals parameters a and b correspondingly. I.e. pressure P_(s) is expressed as:

P _(s) =P _(ideal) +P _(a) +P _(b)  Eq. (5.2f).

The partial compression pressure-“b” P_(b) is defined as a measure of a compression-impact-effect, caused because of increased density of the molecular fluid, sufficient to take into account the compression ratio r_(s)=V/(V_(s)−b). This is a pressure deforming the shape of fluid portion 500.

The partial compression pressure-“a” P_(a) is defined as a measure of a further deep-compression-effect, arisen because of increased density of the molecular fluid, sufficient to have to take into account the inter-molecular forces defined by the van der Waals parameter a, defining the potential energy of the inter-molecular attraction. The partial compression pressure-“a” P_(a) interrelates with the potential energy of the inter-molecular attraction as:

$\begin{matrix} {{U = \frac{P_{a}}{\rho_{s}}},} & {{Eq}.\mspace{14mu} \left( {5.2g} \right)} \end{matrix}$

where U is the internal inter-molecular potential-energy-per-unit-mass.

Thereby:

-   -   while the molecular fluid is as an ideal gas, both: the partial         compression pressure-“a” and the partial compression         pressure-“b” equal zero: P_(a)=0 and P_(b)=0;     -   if the molecular fluid is as a solid-gas with the compression         ratio r_(s) noticeably greater than 1 and with a minor influence         of the inter-molecular attractive forces, the partial         compression pressure-“a” is marginal: P_(a)=0; and     -   if the molecular fluid is as liquid, the partial compression         pressure-“a” decisively defines potential energy of the         inter-molecular attraction.

The fluid's density, on the one hand, has the sense of a measure of the fluid molecules concentration and mass and, on the one hand, has the gravitational sense. The potential gravitational energy stored in the fluid portion unit mass in the Earth's gravitational field is G=zg, where z is the effective height of the fluid's portion above the Earth's ocean surface level. Thus, the partial potential-static-pressure P_(z) distributed on height and provided by the Earth's gravitational field is added, namely:

P _(z) =zμg=ρG  Eq. (5.2),

where ρ is the fluid density that in the stationary case is ρ_(s) satisfying stationary equation (5.2e).

Reference is now made to FIG. 5b , a schematic illustration of a fluid portion 510 as a generalized case of fluid portion 500 of FIG. 5a such that having boundaries adjacent to the stationary walls of body 511. The approach described referring to FIG. 5a can be further adapted to an imaginary boundary layer, comprising fluid portion 510, moving near the real walls of body 511 and being subjected to deformations and acceleration.

The adaptation involves a definition of the inner-static-pressure P_(in) provided by the fluid molecules interactions as comprising two items: P_(in)=P_(s)+P_(boundary), where P_(boundary) is the partial inner-boundary-layer-static-pressure. On the one hand, the partial inner-boundary-layer-static-pressure P_(boundary) enforces the movement to be in alignment with the adjacent stationary walls of body 511, i.e. acting as a drag, and on the other hand, it results in the fluid's specific velocity distribution in an imaginary boundary layer, i.e. acting as a partial pressure relating to a viscous skin-friction effect. This is formalized as

P _(boundary) =P _(drag) +P _(viscous)  Eq. (5.3a),

where P_(drag) is the partial drag-static-pressure acting on moving-small-portion 510, defined as the partial pressure, which arises when fluid portion 510 gets a convective acceleration redirecting moving-small-portion 510, sliding in alignment with the curvature of the real walls; and P_(viscous) is the partial viscous-static-pressure acting on moving-small-portion 510, defined as the partial pressure, which results in that the velocity of moving-small-portion 510 is subjected to a specific spatial distribution in the imaginary boundary layer adjacent to the real walls of body 511. Here and further on, it is assumed that the interaction between the walls and fluid occurs without the heat energy exchange between the walls and fluid, so moving-small-portion 510 is undergoing a reversible adiabatic process.

The partial drag-static-pressure P_(drag) represents either phobic, i.e. fluid-repellent pressure, interrelated with phobic-repulsive forces directed inward fluid portion 510, or sticking pressure, related with attractive forces directed outward fluid portion 510, when the motion trajectory of fluid portion 510 is aligned with the wall's curvature or, more generally, with the trajectory of the adjusted portions of the moving fluid. The partial drag-static-pressure P_(drag) defines the arisen boundary level effect arising due to the curvature of the walls. The partial drag-static-pressure P_(drag) relates to the two mechanisms of fluid portion 510 acceleration: on the one hand, the partial drag-static-pressure P_(drag) acts as a compressor-expander stagnating fluid portion 510; and on the other hand, the partial drag-static-pressure P_(drag) acts to change the cross-sectional area of moving-small-portion 510.

The effect of fluid portion 510 stagnating is formalized by the sum of the partial stagnation pressures: stagnation pressure-“b”, indicated by δP_(b), and of the deep-stagnation pressure-“a”, indicated by δP_(a). The indexes “a” and “b” are associated with relative variations of the van der Waals parameters a and b correspondingly.

The partial stagnation pressure-“b” δP_(b) is defined as a measure of a stagnation-impact-effect, i.e. of an effect of a cumulative stagnation-impact of the fluid molecules on the imaginary boundaries of fluid portion 510. This is a pressure deforming the shape of fluid portion 510. The partial stagnation pressure-“b” δP_(b) is interrelated with a change of the moving-small-portion 510's volume V and, thereby, of the compression ratio r defined as V/(V−b), while retaining the same inter-molecular forces defined by van der Waals parameter a. The value r, now differing from the value rs defined for a stationary case, specifies the partial stagnation pressure-“b” δP_(b).

The partial deep-stagnation pressure-“a” δP_(a) is defined as a measure of a further deep-stagnation-effect, observed as further deformation of the shape of fluid portion 510, such that resulting in quantitative changes of the inter-molecular forces defined by the van der Waals parameter a, allowed to be variable. If the van der Waals parameter a is associated with the stationary-small-portion 500, subjected to the deep-compression-effect and yet to be subjected to the deep-stagnation-effect, then, considering the moving-small-portion 510, the variation, indicated by δa, is added, such that the van der Waals parameter a+δa corresponds to the moving-small-portion, subjected to the deep-stagnation-effect.

For example, while the molecular fluid is as an ideal gas, both: the partial deep-stagnation pressure-“a” and the partial stagnation pressure-“b” equal zero: δP_(a)=0 and δP_(b)=0; if the molecular fluid is as a solid-gas with the variable compression ratio r and with minor variations of the inter-molecular attractive forces, the partial deep-stagnation pressure-“a” is marginal: δP_(a)=0; and by contrast, if the molecular fluid is liquid, the partial stagnation pressure-“b” is negligible: δP_(b)=0.

The aspect of the partial drag-static-pressure P_(drag), associated with the change of the cross-sectional area of moving-small-portion 510 thereby providing fluid portion 510's sliding motion in alignment with the stationary walls curvature, is formalized as the partial pressure-“c” indicated by δP_(c). The partial pressure-“c” δP_(c) interrelates with the Coanda-effect and is a measure of the cumulative aligning-impact of the fluid molecules on the imaginary boundaries of fluid portion 510 moving in the imaginary boundary layer adjacent to stationary walls of body 511.

Thus, a drag-effect is the cumulative effect comprising:

-   -   the stagnation-impact-effect providing the partial stagnation         pressure-“b”,     -   the deep-stagnation-effect providing the partial stagnation         pressure-“a”, and     -   the Coanda-effect providing the partial pressure-“c”;         such that the partial drag-static-pressure δP_(drag) is         quantified as equal to the sum, comprising three items, as         expressed by:

δP _(drag) =δP _(a) +δP _(b) +δP _(c)  Eq. (5.3b).

The mentioned mechanisms, related to the partial pressures “b” and “c”, provide reversible adiabatic conversion of the kinetic energy of the fluid's molecules Brownian random motion into the kinetic energy of fluid portion 510's aligned motion, and vice-versa.

The mentioned mechanism, related to the partial deep-stagnation pressure-“a”, changes the internal inter-molecular potential-energy-per-unit-mass by a value equal to

$\begin{matrix} {{\delta \; U} = \frac{\delta \; P_{a}}{\rho_{s}}} & {{Eq}.\mspace{14mu} (5.3)} \end{matrix}$

distributed in space.

The partial viscous-static-pressure P_(viscous) relates to the two mechanisms of fluid portion 510 acceleration: on the one hand, it is a skin-friction effect observed as an effect of the moving fluid's molecules sticking to the real walls; and on the other hand, it is an osmotic-like effect, which arises between the fluid's adjacent portions differing in either density or temperature.

The partial skin-friction static-pressure P_(skin) is a measure, how much the walls are sticky for the molecular fluid motion. This can be formalized as

$\begin{matrix} {{P_{skin} = {\frac{a_{w} - a - {\delta \; a}}{V^{2}} \times {F_{skin}\left( {u,{a + {\delta \; a}},y_{w}} \right)}}},} & {{Eq}.\mspace{14mu} \left( {5.4a} \right)} \end{matrix}$

where δa is the van der Waals parameter variation relative to the van der Waals parameter a associated with the stationary-small-portion yet to be subjected to the deep-stagnation-effect, V is the volume of moving-small-portion 510, a_(w) is the parameter similar to the van der Waals parameter a, but describing inter-attraction forces between the walls and molecules of the fluid, i.e. the wall-fluid molecular interaction forces; y_(w) is the distance between moving-small-portion 510 and the walls; and F_(skin) (u, a+δa, y_(w)) is a function of u, a+δa, and y_(w). If the distance y_(w) is sufficiently big, the viscosity influence of the walls becomes negligible. The difference (a_(w)−a−δa) defines the effect of viscosity. When the attractive forces between the walls and molecules of the fluid are stronger than the fluid's inter-molecular forces, i.e. (a_(w)−a−δa)>0, the fluid's molecules are “sticking” to the walls, and the fluid develops viscous properties causing the wall-fluid molecular interaction forces cumulative action against fluid portion 510's motion direction accompanied by a dissipation of the kinetic energy of fluid portion 510 into the fluid portion 510's heat energy; and when the attractive forces between the walls and molecules of the fluid are weaker than the fluid's inter-molecular forces, i.e. (a_(w)−a−δa)<0, the walls develop phobic repellent properties. A so-called “free-slip” motion condition, corresponds to the case, when the attractive forces between the walls and molecules of the fluid compensate the fluid's inter-molecular forces, i.e. (a_(w)−a−δa)=0.

The partial osmotic-like static-pressure P_(osmotic) defines the osmotic-like effect triggered by the gradients of density and temperature. This can be formalized as

P _(osmotic) =F _(osmotic)(a+δa,∇ρ,∇T)  Eq. (5.4b),

where F_(osmotic)(a+δa, ∇ρ, ∇T) is a function of the van der Waals parameter a allowed to be varied and of the gradients ∇ρ and ∇T. The gradients ∇ρ and ∇T depend on the gradient of the velocity-vector ∇u. If all the gradients equal zero, the osmotic-like effect becomes as the diffusion caused by the Brownian random motion of the fluid's molecules.

Thus, the partial viscous-static-pressure P_(viscous) is represented as the sum of two items, namely:

P _(viscous) =P _(skin) +P _(osmotic)  Eq. (5.4c).

So, considering the general case of fluid portion 510 of FIG. 5b that may move either within or out of the imaginary boundary layer, the cumulative-inner-static-pressure P is interpreted as comprising the mentioned items:

P=P _(in) +P _(z) =P _(s) +P _(drag) +P _(viscous) +P _(z)  Eq. (5.4d),

which can be further decomposed as the following:

P=P _(s)+(δP _(a) +δP _(b) +δP _(c))+(P _(skin) +P _(osmotic))+P _(z)  Eq. (5.4e)

The characteristic heat portion per unit mass, indicated by Q, stored in fluid moving-small-portion 510's molecular Brownian random motion, related to degrees of freedom causing the fluid molecules cumulative impact defining the inner-static-pressure P_(in), equals

$\begin{matrix} {{Q = {{RT} = \frac{P_{in}}{\rho}}},} & {{Eq}.\mspace{14mu} (5.4)} \end{matrix}$

where T is the fluid moving-small-portion 510 absolute temperature that, in general, differs from the temperature T_(s) of the stationary case satisfying the stationary equation (5.2e), and the generalized specific fluid constant R is defined for moving-small-portion 510 as R=rR₀/μ, where r=V/(V−b).

Combining equations (5.2), (5.3) and (5.4), one can derive that

$\begin{matrix} {{{Q + G} = \frac{P}{\rho}},} & {{Eq}.\mspace{14mu} (5.5)} \end{matrix}$

when an adiabatic case is considered.

In a particular case, when the effect of the gravitational influence is negligible, the cumulative-inner-static-pressure P is identical with the inner-static-pressure P_(in), and the equation of a moving molecular fluid state is derived from the equation (5.5) as:

P=P _(in) =ρQ=ρRT, if P _(z)=0  Eq. (5.5a).

Taking into account equation (5.5), one can rewrite integral equation (5.1) as:

$\begin{matrix} {{\frac{\partial}{\partial t}{\int{\rho \; {udV}}}} = {{- {\oint_{S}\mspace{14mu} {\rho \; {{uu} \cdot {ndS}}}}} - {\oint_{S}\mspace{14mu} {{\rho \left( {Q + G} \right)}{{ndS}.}}}}} & {{Eq}.\mspace{14mu} \left( {5.6a} \right)} \end{matrix}$

Applying Gauss's theorem to the integrals of the right part, one can specify this as:

$\begin{matrix} {{{\frac{\partial}{\partial t}{\int{\rho \; {udV}}}} = {{- {\int{{\nabla\rho}\; {uudV}}}} = {- {\int{{\nabla{\rho \left( {Q + G} \right)}}{dV}}}}}},} & {{Eq}.\mspace{14mu} \left( {5.6b} \right)} \end{matrix}$

or, in differential form:

$\begin{matrix} {{{\frac{\partial}{\partial t}u} = {{- {\nabla({uu})}} - {\nabla\left( {Q + G} \right)}}},} & {{Eq}.\mspace{14mu} (5.6)} \end{matrix}$

where ∇ is the vector differential operator.

The term “∇Q” of the equation has the sense of a force per mass unit interrelated with a change in fluid thermodynamic state, the term “∇(uu)” has the sense of an inherent convective self-acceleration of fluid portion 510, and the term “∇G” has the sense of a gravitational force.

The momentum conservation equation in form (5.6) is applicable to viscous fluid flow being either almost incompressible as liquid or compressible-expandable as gas. Noticing that the inner-static-pressure, in the general case, equals P_(in)+P_(in)=P_(s)+P_(drag)+P_(viscous), the exact solution of (5.6) for a steady-state flow is the Bernoulli theorem: (P_(in)/φ+(zg)+(u²/2)=Const that confirms adequateness of equation (5.6).

Mass Conservation or Equation of Continuity

The conservation of mass says that the variation of the mass in a volume must be entirely due to the inflow or outflow of mass through a closed surface S of that volume, namely:

$\begin{matrix} {{\frac{\partial}{\partial t}{\int{\rho \; {dV}}}} = {- {\oint_{S}{\rho \; {u \cdot {{ndS}.}}}}}} & {{Eq}.\mspace{14mu} \left( {5.7a} \right)} \end{matrix}$

Using Gauss's theorem, one can specify this as:

$\begin{matrix} {{{\frac{\partial}{\partial t}{\int{\rho dV}}} = {- {\int{\nabla{\cdot \left( {\rho \; u} \right) \cdot {dV}}}}}},} & {{Eq}.\mspace{14mu} \left( {5.7b} \right)} \end{matrix}$

and so in differential form:

$\begin{matrix} {{{\frac{\partial}{\partial t}\rho} + {\nabla{\cdot \left( {\rho \; u} \right)}}} = 0.} & {{Eq}.\mspace{14mu} (5.7)} \end{matrix}$

The solution of (5.7) for a stationary case can be written as the equation of continuity: Aρu=Const, where A is the fluid flow cross-section area. Generalized adiabatic Compressibility Parameter The mathematical equation for a hypothetical ideal gas undergoing a reversible adiabatic process is

P _(ideal) V ^(j)=Const  Eq. (5.8a),

where j is the adiabatic compressibility-constant, defined for the hypothetical ideal gas as j=1+R₀/C_(V)=1+2/f, where C_(V) is the specific heat capacity for constant volume, and f is the number of degrees of freedom per molecule of gas wherein f depends on a configuration of the hypothetical ideal gas molecules.

One can spread the logic of the kinetic theory of gas to define a so-called adiabatic compressibility parameter γ, now generalized for a real fluid, specifying factors reducing the degrees of freedom of the fluid's molecules. These are the compression ratio r=V/(V−b) and an involved function ϕ(a) of the van der Waals parameter a+δa. The involved function ϕ(a+δa) has a sense of an influence of the internal inter-molecular potential-energy-per-unit-mass on the degrees of freedom of the fluid's molecules and is expressed as:

$\begin{matrix} {{\varphi \left( {a + {\delta \; a}} \right)} = {\frac{P_{in}}{P_{in} - P_{a} - {\delta \; P_{a}}} = {\frac{\rho \; {RT}}{{\rho \; {RT}} - U - {\delta \; U}}.}}} & {{Eq}.\mspace{14mu} \left( {5.8b} \right)} \end{matrix}$

Therefore, one can define the generalized adiabatic compressibility parameter γ as

y=1+rϕ(a+δa)R ₀ /C _(V)=1+2rϕ(a+δa)/f, i.e.

y=1+rϕ(a+δa)(1−j)  Eq. (5.8c),

where j now has the sense of the adiabatic compressibility parameter, defined for the real fluid, but imagined as a hypothetical ideal gas composed of the same molecules in the assumption that the conditions a+δa=0 and b=0 are satisfied and are interrelated to the conditions ϕ(a+δa)=1 and r=1, correspondingly. The condition γ>>1 is satisfied for liquids and ionized gases (i.e. plasma), so the following simplified equation becomes relevant:

$\begin{matrix} \left\{ {\begin{matrix} {\gamma = j} & {{{for}\mspace{14mu} {hypothetical}\mspace{14mu} {ideal}\mspace{14mu} {gases}}\mspace{101mu}} \\ {\gamma = {1 + {r\left( {j - 1} \right)}}} & {{{for}\mspace{14mu} {real}\mspace{14mu} {gases}}\mspace{256mu}} \\ {\gamma\operatorname{>>}1} & {{{for}\mspace{14mu} {real}\mspace{14mu} {liquids}\mspace{14mu} {and}\mspace{14mu} {plasma}}\mspace{104mu}} \\ \left. \gamma\rightarrow\infty \right. & {{for}\mspace{14mu} {hypothetical}\mspace{14mu} {compressible}\mspace{14mu} {liquids}} \end{matrix}.} \right. & {{Eq}.\mspace{14mu} \left( {5.8d} \right)} \end{matrix}$

The definition of the generalized adiabatic compressibility parameter γ allows to derive an equation for the real fluid undergoing a reversible adiabatic process as:

P _(in) V ^(γ)=Const  Eq. (5.8).

In a particular case, when the effect of the gravitational influence is negligible, the cumulative-inner-static-pressure P becomes identical with the inner-static-pressure P_(in), and the equation (5.8) for the real fluid undergoing a reversible adiabatic process can be specified as:

PV ^(γ) =P _(in) V ^(γ)=Const, if P _(z)=0  Eq. (5.8e).

For a hypothetical ideal gas, the conditions r=1 and ϕ(a)=1 are satisfied, and equations (5.8) and (5.8e) revert to equation (5.8a).

Energy Conservation

The conservation of energy says that the variation of the energy in a volume must be entirely due to the inflow or outflow of energy through a closed surface S of that volume. Energy exists in many forms. In the case, wherein portion 510 is small sufficient to have no whirling groups of molecules, making a complete rotating cycle within portion 510 (i.e. to have no inner turbulent motions), considering a unit mass of fluid portion 510, one can take into account the following forms of the energy:

-   -   kinetic energy K=u²/2, defined by cumulative         kinetic-energy-per-unit-mass of fluid molecules motion in a         prevalent direction;     -   potential gravitational energy G=zg, stored in the unit mass in         the gravitational field of the Earth;     -   total heat Q_(tot) as the cumulative kinetic energy per unit         mass stored in a fluid molecular Brownian random motion that for         a van der Waals gas is defined as Q_(tot)=RT×(r(j−1)), where         R=rR₀/μ. To define the total internal energy per unit mass,         indicated by U_(in), the change in degrees of freedom of the         fluid's molecules caused because of the internal inter-molecular         potential-energy-per-unit-mass U+δU is taken into the         consideration via the definition of generalized adiabatic         compressibility parameter γ, such that the total internal energy         per unit mass U_(in), is quantified as         U_(in)=Q_(tot)+U+δU=RT×(γ−1), wherein the characteristic heat         portion per unit mass Q=RT, stored in a fluid molecular Brownian         random motion, is related to degrees of freedom causing the         fluid molecules cumulative impact on the boundary surfaces of         moving-small-portion 510.

Thereby, the total cumulative energy is the volume integral of (K+G+U_(in)), wherein the advection of energy through the control volume surface is the surface integral of ρ(K+G+Q)u·n. Thus, the conservation equation of energy is:

$\begin{matrix} {{\frac{\partial}{\partial t}{\int{{\rho \left( {K + G + Q} \right)}{dV}}}} = {- {\oint_{S}{{\rho \left( {K + G + Q} \right)}{u \cdot {{ndS}.}}}}}} & {{Eq}.\mspace{14mu} \left( {5.9a} \right)} \end{matrix}$

Using Gauss theorem one gets:

$\begin{matrix} {{\frac{\partial}{\partial t}{\int{{\rho \left( {K + G + Q} \right)}{dV}}}} = {- {\int{{\nabla\left\lbrack {{\rho \left( {K + G + Q} \right)}u} \right\rbrack}{{dV}.}}}}} & {{Eq}.\mspace{14mu} \left( {5.9b} \right)} \end{matrix}$

Since this must be valid for all control volumes V, one gets the differential form of the energy conservation equation:

$\begin{matrix} {{{{\frac{\partial}{\partial t}{\rho \left( {K + G + Q} \right)}} + {\nabla\left\lbrack {{\rho \left( {K + G + Q} \right)}u} \right\rbrack}} = 0},} & {{Eq}.\mspace{14mu} \left( {5.9c} \right)} \end{matrix}$

or, substituting the defined expressions for the kinds of energy, it can be written as:

$\begin{matrix} {{\frac{\partial}{\partial t}{\rho \left( {\frac{u^{2}}{2} + {z\; } + {RT}} \right)}} = {- {{\nabla\left\lbrack {\left( {\rho \; u} \right)\left( {\frac{u^{2}}{u} + {z\; } + {RT}} \right)} \right\rbrack}.}}} & {{Eq}.\mspace{14mu} (5.9)} \end{matrix}$

In a stationary case, equation (5.9) can be simplified as:

$\begin{matrix} {{\nabla\left\lbrack {\left( {\rho \; u} \right)\left( {\frac{u^{2}}{2} + {z\; } + {RT}} \right)} \right\rbrack} = 0.} & {{Eq}.\mspace{14mu} \left( {5.10a} \right)} \end{matrix}$

Comparing (5.10a) with mass conservation equation (5.7), one can conclude that

$\begin{matrix} {{\frac{u^{2}}{2} + {z\; } + {RT}} = {Const}} & {{Eq}.\mspace{14mu} \left( {5.10b} \right)} \end{matrix}$

Taking into the account that=RT=P_(in)/ρ, one obtains the Bernoulli theorem for stationary flow:

$\begin{matrix} {{{\frac{u^{2}}{2} + {z\; } + \frac{P_{in}}{\rho}} = {Const}},} & {{Eq}.\mspace{14mu} (5.10)} \end{matrix}$

as was predicted.

The set of specified equations (5.2), (5.3), (5.4), (5.5), (5.6), (5.7), (5.8), and (5.9) represents the generalized equations of molecular fluid motion, the adequacy of which is confirmed by the Bernoulli theorem, equation (5.10). A method for computational fluid dynamics comprising the momentum conservation equation (5.6) expressed via gradient of the characteristic heat portion ∇Q is a subject of the present invention.

In view of the foregoing description with reference to FIG. 5b , it will be evident to a person skilled in the art that, in contrast to the continuum mechanics approach based on the introduction of viscosity constants, the description of the drag and viscosity effects by molecular interactions defined in frames of the kinetic theory of matter is one of the primary principles of the present invention.

In view of the foregoing description with reference to FIG. 5b , it will be evident to a person skilled in the art that the described approach, being adapted to fluid portion 510 moving near real walls of body 511, excludes the d'Alembert paradox formulated in frames of the classical continuum mechanics, because of either repellent or sticking properties of the arisen partial drag-static-pressure P_(drag) depending on a direction of the motion velocity of fluid portion 510 and the walls' curvatures. This follows also from the kinetic theory of gas, where the term “pressure” is defined as a measure of the random moving molecules' impact effect acting on a wall. So, considering a moving body, for simplicity, having a spherical shape, the relative mean velocity-vector of the impacting molecules random motion depends on the body's velocity value and direction, according to Galilean relativity. Thus, the difference between the impact effects, acting on the forward and rear sides of the moving body, defines the non-zero cumulative partial drag-static-pressure P_(drag). Furthermore, considering a moving body, having an airfoil wing-like shape triggering the Coanda-effect, the partial pressure-“c” δP_(c), as a component of the partial drag-static-pressure P_(drag), provides a jet-effect and, in a certain condition, triggers the de Laval effect as described below with reference to FIG. 7c as well as with references to FIGS. 8a, 8b, 8c, 8d, 9a, 9b, 9c, 9d, 9e , and 9 f.

In view of the foregoing description with reference to FIG. 5b , it will be evident to a person skilled in the art that the partial viscous-static-pressure P_(viscous), comprising the partial skin-fiction static-pressure P_(skin) and osmotic-like static-pressure P_(osmotic), depends on the fluid temperature. In particular, for gases, higher temperature results in a dominant increase of the partial osmotic-like static-pressure P_(osmotic); and for liquids, higher temperature results in a decrease of the van der Waals parameter a accompanied by the skin-friction static-pressure P_(skin) decrease, primary defining the partial viscous-static-pressure P_(viscous) decrease.

In view of the foregoing description with reference to FIG. 5a , it will be evident to a person skilled in the art that, considering a molecular fluid in frames of the van der Waals approach, without loss of generality, one can apply a modification of the van der Waals equation of state for a molecular fluid. It may be either the Redlich-Kwong equation, and/or the Berthelot model, and/or the Dieterici model, and/or the Clausius model, and/or the Virial equation, and/or the Peng-Robinson equation of state, and/or the Wohl equation, and/or the Beattie-Bridgman model, and/or Benedict-Webb-Rubin equation as well as further generalizing modifications.

In view of the foregoing description with reference to FIGS. 5a and 5b , it will be evident to a person skilled in the art that, applying a certain resolution size of fluid portion 510 to a discrete approximation in the computational fluid dynamics, some whirling groups of molecules, i.e. some turbulent motions of fluid, become hidden within the resolution. In other words, considering a sufficiently large fluid portion 510 as a cell of the discrete approximation in the computational fluid dynamics, the hidden turbulent motion of the groups of molecules, whirling within the fluid portion 510, is interpreted as the molecules Brownian random motion. This means that the temperature of fluid portion 510, involved into equation (5.9), should be understood in a widened sense as a measure proportional to the average molecular kinetic energy of both: the molecules Brownian random motion and the hidden turbulent motion of the whirling groups of molecules.

Waves in Fluid

The acoustic (elastic) wave propagating in a molecular fluid medium is defined as a periodically oscillating motion of a molecular fluid portion with respect to the zero average Brownian distributed velocity of molecules, wherein the periodically oscillating portion is subjected to an external energetic forced action resulting in the acoustic wave process.

The inventor points out that the acoustic wave process is a particular case of the molecular fluid motion in accordance with the set of equations (5.6), (5.7), and (5.9). The total internal energy per unit mass U_(in), comprises the portion of energy, indicated by δU_(in), which is defined as acquired from the external energetic forced steady-state oscillating action. The acquired portion, δU_(in), per unit mass is permanently refreshing locally and is traveling along the direction of the acoustic wave propagation such that the total internal energy per unit mass, U_(in), remains constant. The inventor points out that the energy traveling (i.e. work) occurs in an adiabatic process, i.e. occurs at the expense of the internal heat energy of the molecular fluid itself. For simplicity, ignore the non-zero partial viscous-static-pressure P_(viscous) causing the irretrievable dissipation of the acoustic wave energy into the warmth of the molecular fluid medium. The set of equations (5.6), (5.7), and (5.9), in particular, says that the wave process is a process of the energy transformation from one kind of the energy into another kind of the energy. Namely, the kinetic energy of oscillating motion is transforming into the potential energy interrelated with the partial drag-static-pressure P_(drag) defined by equation (5.3b) as composed of three varying additive components: P_(drag)=δ P_(a)+δP_(b)+δP_(c) and accompanied by a change of the molecular fluid density and temperature and so interrelated with a change of the molecular fluid state in a revertible adiabatic process and, vice versa, the molecular fluid portion potential energy, interrelated with the partial drag-static-pressure P_(drag), becomes contributed to the convectively acquired kinetic energy of the oscillating motion. The change in fluid state interrelated with the oscillating motion in an adiabatic process corresponds to a certain change in the internal heat energy of the molecular fluid, namely, ΔQ_(a)=RΔT_(a), where ΔQ_(a) is the change of characteristic heat portion per unit mass, wherein the value of the adiabatic temperature change ΔT_(a)=T₂−T₁ is bonded with the varying partial drag-static-pressure P_(drag) by the relation: T₂/T₁=(P₂/P₁)^((γ-1)/γ), where P₁ and P₂ are the partial drag-static-pressures P_(drag) of the subject fluid portion in two opposite states of the oscillating portion of fluid in the adiabatic process, correspondingly, and γ is the generalized adiabatic compressibility parameter as defined by equation (5.8c), wherein the value γ=7/5 is a good approximation for natural air as consisting dominantly of diatomic molecules.

The inventor points out that the mechanism of the adiabatic transformation between the internal heat energy and the convectively acquired kinetic energy of the oscillating motion is determined by the Coanda-jet-effect quantified by the partial pressure-“c” P_(c). The adiabatic transformation between the internal heat energy and the convectively acquired kinetic energy of the oscillating motion is in conformance with the set of equations (5.6), (5.7), and (5.9), and so the exact solution for acoustic wave, propagating in a prevalent direction, as a particular case of the molecular fluid steady-state oscillating motion, is the Bernoulli theorem saying that the value (P_(in)/ρ)+(u²/2) is constant along the prevalent direction.

The inventor points out that the external energy of the forced action:

-   -   on the one hand, is a source of the wave process; as well as,     -   on the other hand, is a trigger providing for the periodically         oscillating mutual transformation of the molecular fluid         portions energy between the oscillating motion and the molecular         fluid portions internal heat energy defined by the varying         partial drag-static-pressure P_(drag), wherein the triggered         energy transformation occurs adiabatically.

This, in particular, says that the energy, brought by an acoustic wave, is composed of the external energy of the forced action and a positive portion of energy, which is self-extracted from the internal heat energy of the molecular fluid due to the Coanda-jet-effect quantified by the partial pressure-“c” δP_(c).

Thus, the inventor points out that the wave process is accompanied by the Coanda-jet-effect, i.e. by a triggered effect of the molecular fluid portions convective self-acceleration, occurring adiabatically at the expense of the internal heat energy of the ambient fluid medium.

For the purposes of the present invention, to emphasize the inherent jet-effect of the propagating acoustic wave, the term “waving jet-effect” should be understood as a kind of the Coanda-jet-effect specified as being applied to inner portions of a molecular fluid, as a tendency of an oscillatory moving-small-portion to be attracted to and aligned with a curvature of a nearby fragment of an imaginary boundary of a neighbor inner portion;

For the purposes of the present invention, to emphasize the jet-effect nature of the acoustic radiation pressure described hereinabove in the BACKGROUND OF THE INVENTION, subparagraph “Radiation Pressure”, the term “radiation jet-effect” should be understood as a kind of jet-effect specified as a tendency of propagating acoustic wave to push an obstacle exposed to the propagating acoustic wave; wherein the tendency, observed as the excessive radiation pressure by the propagating acoustic wave, is interrelated with the tendency of the acoustic wave propagation in a prevalent direction.

The inventor takes note that the terms “radiation jet-effect” and “waving jet-effect” are of interrelated senses. In other words, the inventor interprets the radiation jet-effect as a self-revealing-and-manifestation of the triggered waving jet-effect that, in turn, is a self-revealing-and-manifestation of the triggered Coanda-jet-effect.

Further, the inventor points out that, when the external energetic source of an acoustic wave acts as a localized oscillator only, the acoustic wave is characterized by propagation in a prevalent direction, and, if to ignore the acoustic wave dissipation, the acoustic wave propagation, as the wave energy traveling, occurs adiabatically. The inventor takes note the adiabatic character of the acoustic wave propagation allowing for a conveying the acoustic wave energy from the localized external energetic source of the acoustic wave to an acoustic wave detector placed far from the localized external energetic source.

Interference of Acoustic Waves

The principle of superposition of waves states that when two or more propagating waves of the same type inter-join at a point, the resultant amplitude at that point is equal to the vector sum of the amplitudes of the individual waves. If a crest of a wave meets a crest of another wave of the same frequency at the same point, then the amplitude is the sum of the individual amplitudes—this is constructive interference. If a crest of one wave meets a trough of another wave, then the amplitude is equal to the difference in the individual amplitudes—this is known as destructive interference.

The inventor points out that as the acoustic waves are characterized by dominant longitudinal oscillations inherently accompanied by minor cross-sectional oscillations of a molecular fluid portion, i.e. are characterized by a specific field of velocities, then, considering the acoustic waves superposition, one expects the following specific self-revealing-and-manifestations of the interference, namely, when the two in-phase acoustic waves are joining substantially collinear, one expects the origination of the constructive interference;

-   -   when the two anti-phase acoustic waves are joining substantially         collinear, one expects the origination of the destructive         interference;     -   when the two identical acoustic waves are joining when         propagating in the opposite directions, one expects the         origination of a so-called standing wave as a result of the         constructive-destructive interference; and     -   when the two acoustic waves (as dominantly longitudinal waves)         are meeting when propagating in the inter-perpendicular         directions, one expects the origination of a specific kind of         interference, for the purposes of the present invention, called         an “orthogonal interference”.

In Relation to a Single Wave in a not Disturbed Molecular Fluid

When a portion of fluid is disturbed by the single acoustic wave, propagating in a prevalent direction and characterized by a certain wavelength, the fluid portion is composed of molecules:

-   -   moving randomly in all the directions with the Brownian         distribution of velocities, wherein         -   the mean squared velocity of the Brownian motion of the             molecules, equal to u_(B1), corresponding to the velocity of             the single acoustic wave propagation in the prevalent             direction in the case, and, in addition,         -   dominantly-longitudinally oscillating along the prevalent             direction, collinear to the wave propagation, with the             velocity u oscillating between the minimal value −u₁ and the             maximal value +u₁ with respect to the zero average Brownian             distributed velocity of molecules;     -   the density ρ of the portion is oscillating as interrelated with         the oscillating velocity in accordance with the equation of         continuity; wherein the inner-static-pressure and temperature of         the portion are oscillating as well as interrelated with the         oscillating density in accordance with the Van der Waals law of         the fluid state applied to an adiabatic process;     -   the wave energy U₁ per wavelength, brought by the single         acoustic wave, is equal to U₁=0.5ρ₁u₁ ², where ρ₁ is the density         of a small sub-portion of the molecular fluid, wherein the small         sub-portion having the linear size along the prevalent direction         being much lesser than a quarter of the wavelength and moving         with the maximal velocity u₁; and     -   the cross-sectional area A of any portion of fluid is         oscillating as well, according to the equation of continuity         Aρu=Const, i.e. the dominant longitudinal oscillations of a         molecular fluid portion are inherently accompanied by         cross-sectional oscillations.

In Relation to the Constructive Interference

When a portion of fluid is disturbed by two collinear in-phase acoustic waves, both characterized by the same wavelength,

-   -   at the first glance, the constructive interference is observed         as a seemingly usable energy excess when one uses a classic         detector of the usable wave energy, reacting on the fluid         molecules oscillating impact, i.e. reacting on the oscillation         of locally-excessing pressure; and     -   in a more detailed analysis, seeing that the two in-phase waves         are disturbing the fluid portions by oscillations in unison,         -   thereby superposing the fields of velocities and thereby             repeatedly reinforcing the waving jet-effect, the resulting             oscillation velocity reaches the maximal value u₊ equal to             u₊=u₁+u₂, where indexes “1” and “2” correspond to the two             in-phase waves propagating separately, and index “+”             corresponds to the case when the two in-phase waves join to             result in the constructive interference;         -   thereby causing the specifically-asymmetrical redistribution             of molecules motions degrees of freedom, the disturbed fluid             portion becomes composed by molecules, moving randomly in             all the directions with the Brownian distribution of             velocities and, in addition, oscillating in the prevalent             direction, collinear to the two in-phase waves propagations;             wherein the oscillating velocity reaches the maximal value             u₊ with respect to the zero average Brownian distributed             velocity of molecules;         -   the relative velocity increase up to u₊=u₁+u₂ is higher than             a hypothetic increase of velocity up to √{square root over             (u₁ ²+u₂ ²)}, which would be reached if considered as             limited by the cumulative energies brought by the two             in-phase waves only; wherein actually, the relative velocity             increase up to u₊=u₁+u₂ occurs also at the expense of the             internal heat energy and the corresponding established mean             squared velocity of the Brownian motion of the molecules             equals u_(B+), such that the condition u_(B+)<u_(B1) must be             satisfied in the case. Corresponding varying partial             drag-static-pressure P_(drag) interrelates with the velocity             of oscillation; and         -   the cumulative usable wave energy U₊ per wavelength, brought             by the two superposed collinear and in-phase acoustic waves,             is equal to U₊=0.5ρ₊u₊ ², where ρ₊ is the density of a small             sub-portion of the molecular fluid, wherein the small             sub-portion having the linear size along the prevalent             direction being much lesser than a quarter of the wavelength             and moving with the maximal velocity u₊, i.e.             U₊=0.5ρ₊(u₁+u₂)². For simplicity, ρ₊≈ρ₁≈ρ₂. In the case when             u₁=u₂, the cumulative usable wave energy U₊ per wavelength,             brought by the two superposed collinear and in-phase             acoustic waves, is equal to fourfold usable wave energy U₁             per wavelength, brought by a single wave, i.e. U₊=4U₁.             The inventor points out that the increase of the maximal             value u₊of the oscillating velocity with respect to the zero             average Brownian distributed velocity of molecules occurs at             the expense of the mean squared velocity of the Brownian             motion of the molecules u_(B1) (i.e. u₊<u_(B1)). This, in             particular, explains why, in a thermo-acoustic heat engine,             an acoustic resonator plays the role of a “cold sink”, and             says that the maximal value u₊is restricted by the origin             mean squared velocity of the Brownian motion u_(B1). Looking             ahead, in view of the description of subparagraph             “Convergent-Divergent Jet-Nozzle” referring to FIG. 6a of             the invention, it will become evident to a person studied             the present invention that the relative velocity u+, which             can be reached in an adiabatic waving process, is             characterized by M-velocity being lower than the specific             M-velocity, indicated by M*, specified in equation (6.9)             and, for air, estimated as of about M*≈0.5345. I.e. the             condition u₊<u_(B+)×M* must be satisfied. This condition             restricts the adiabatic increase of wave power brought by a             classic waving acoustic wave, while a shock wave may bring             higher power.             For the purposes of the present invention,     -   the term “usable wave energy per wavelength” should be         understood as a partial wave energy being proportional to the         second power of the resulting amplitude of the wave, and hence         being detectable by a classic detector of waves, reacting on the         resulting amplitude of wave; and     -   the term “enhanced waving jet-effect” should be understood as         the waving jet-effect, which is reinforced repeatedly applying         constructive interference.

In Relation to the Destructive Interference

When a portion of fluid is disturbed by two collinear anti-phase acoustic waves, both characterized by the same wavelength, and the same amplitude, wherein the oscillating velocities of molecules for each acoustic wave are between ±u₁ and ±u₂, correspondingly, with respect to the zero average Brownian distributed velocity of molecules and are always contra-directed, i.e. providing the zero cumulative impact,

-   -   at the first glance, the destructive interference is observed as         a seemingly energy annihilation when one uses a classic detector         of wave energy, reacting on the fluid molecules oscillating         impact, i.e. reacting on the oscillation of locally-excess         pressure; and     -   in a more detailed analysis,         -   taking note that the principle of superposition, essentially             says that any complex motion can be divided into two or more             simple ones, the superposition of two fields of the two             anti-phase oscillating velocities associated with the two             anti-phase acoustic waves, correspondingly, results in a             complex field of the oscillating velocities, wherein the             complex field of the oscillating velocities hides the two             basic fields of the anti-phase oscillating velocities;         -   seeing that the two anti-phase waves are disturbing the             fluid portions by oscillations in anti-unison thereby             superposing the fields of velocities and thereby causing the             specifically-asymmetrical redistribution of molecules             motions degrees of freedom:         -   (a) the disturbed fluid portion becomes composed of             molecules moving randomly in all the directions with the             Brownian distribution of velocities and, in addition,             oscillating in the prevalent direction, collinear to the             common direction of the two anti-phase waves propagations;             wherein the velocities of molecules oscillations are             vectored in the opposite directions simultaneously within             each small volume having the linear size along the prevalent             direction being much lesser than a quarter of the             wavelength;         -   (b) the specific asymmetry of such a distribution of             velocities with respect to the directions is characterized             by hidden relative velocities in the direction of the two             anti-phase acoustic waves propagation, wherein the hidden             maximal relative velocity of anti-unison oscillating             molecules, equals u⁻=u₁+u₂, according to Galilean             relativity;         -   (c) the hidden relative velocity increase interrelates with             the corresponding varying partial drag-static-pressure             P_(drag) and defines the acquired latent energy of the             superposed acoustic waves where the latent kinetic energy is             periodically transforming into the corresponding latent             potential energy stored in the hidden stagnations; wherein             the hidden relative velocity increase up to u⁻=u₁+u₂ is             higher than a hypothetic increase of velocity up to √{square             root over (u₁ ²+u₂ ²)}, which would be reached if considered             as limited by the cumulative energies brought by the two             anti-phase waves only; wherein actually, the hidden relative             velocity increase up to u⁻=u₁+u₂ occurs at the expense of             the molecular fluid internal heat energy, and the             corresponding established mean squared velocity of the             Brownian motion of the molecules equals u_(B−), wherein the             condition u_(B−)<u_(B1) must be satisfied in the case;         -   (d) it is expected that a temperature detector, reacting on             the local thermal radiation in a prevalent direction,             perpendicular to the common direction of the two anti-phase             waves propagations, can be used for the detection of the             hidden relatively increased velocity oscillation;         -   (e) it is expected that because the velocities of molecules             oscillations being vectored in the opposite directions, the             molecules motions suffer added impedance, thus,             -   (e.1) while ignoring the added so-called wave-impedance,                 the latent cumulative wave energy U⁻ per wavelength,                 brought by the two superposed substantially collinear                 and anti-phase acoustic waves, is equal to U⁻=0.5ρ⁻u⁻ ²,                 where ρ⁻ is the density of a small sub-portion of the                 molecular fluid, wherein the small sub-portion having                 the linear size along the prevalent direction being much                 lesser than a quarter of the wavelength and comprising                 the contra-directed oscillating motions with the hidden                 relative maximal velocity u⁻, i.e. U⁻=0.5ρ⁻(u₁+u₂)². For                 simplicity, ρ⁻≈ρ₁≈ρ₂. In the case when u₁=u₂, the latent                 cumulative wave energy U⁻ per wavelength, brought by the                 two superposed substantially collinear and anti-phase                 acoustic waves, is equal fourfold wave energy U₁ per                 wavelength, brought by a single wave, i.e. U⁻=4U₁; and                 thereby,                 -   the latent cumulative wave energy of superposed                     anti-phase acoustic waves is equal to the cumulative                     usable wave energy of superposed in-phase acoustic                     waves, i.e. U⁻=U₊=4U₁ and hence, in the both cases,                     the established mean squared velocities of the                     Brownian motion of the molecules are equal, i.e.                     u_(B−)=u_(B)+, in the accordance with The Energy                     Conservation Law; and             -   (e.2) when taking into account the added wave-impedance,                 that provides for a higher adequateness of the                 destructive interference modelling, the increased                 wave-impedance, in turn, causes a partial reflection of                 the pairs of inter-superposed originally anti-phased                 waves in the back direction.                 For the purposes of the present invention, the term                 “latent wave energy” should be understood as a form of                 energy that:     -   is undetectable by a classic detector of acoustic waves,         reacting on the fluid molecules oscillating impact, i.e.         reacting on the oscillation of locally-excessing dynamic         pressure; and     -   is detectable by a thermal detector, reacting on the local         thermal radiation, wherein, in the case of the acoustic wave in         fluid (as a dominantly longitudinal wave), the thermal radiation         is dominant in a prevalent direction, perpendicular to the         common direction of the two anti-phase waves propagations.

In Relation to the Constructive-Destructive Interference as Standing Wave

When a portion of fluid is disturbed by two collinearly meeting acoustic waves, both characterized by the same wavelength, and the same amplitude, wherein the oscillating velocities of molecules for each acoustic wave are between ±u₁ with respect to the zero average Brownian distributed velocity of molecules and are locally contra-directed, providing for a completely hidden oscillating motion with the inter-opposite velocities, and locally co-directed, providing for the resulting oscillating motion wherein the oscillating velocities of molecules for the resulting acoustic wave are between ±2u₁, correspondingly, the constructive-destructive interference is observed as a standing wave comprising an alternation of a seemingly energy annihilation at points, which are frequently called nodes, and a seemingly energy maximal excess at points, which are frequently called anti-nodes.

The inventor points out that, in view of the foregoing description of the constructive and destructive interferences of two substantially collinear acoustic waves, the cumulative wave energy of the two meeting waves is fourfold higher than the wave energy of a single wave, wherein the wave energy is observed as usable in the anti-nodes and becomes latent in the nodes, and wherein the acquired wave energy excess is extracted from the fluid internal heat energy due to the enhanced waving jet-effect and so, is accompanied by the reduced established mean squared velocity of the Brownian motion of the molecules.

In Relation to the Orthogonal Interference

When a portion of fluid is disturbed by two orthogonally meeting acoustic waves, wherein the oscillating velocities of molecules for each acoustic wave are between ±u₁ and ±u₂, correspondingly, with respect to the zero average Brownian distributed velocity of molecules and always are vectored inter-orthogonally, i.e. providing a specific superposition of velocities oscillation, and so

-   -   for the orthogonal interference, observed as a complex acoustic         wave composed of oscillating molecules having elliptic         trajectory with the oscillating velocity of √{square root over         (u₁ ²+u₂ ²)}, the cumulative wave energy, indicated by U₀, which         is brought by the complex acoustic wave, is specified as         U₀=0.5ρ₀(u₁ ²+u₂), where ρ₀ is the density of a small         sub-portion of the molecular fluid (for simplicity, ρ₀≈ρ₁≈ρ₂),         wherein the small sub-portion having the linear size being much         lesser than a quarter of the wavelength and comprising the         orthogonally-directed oscillating motions with the relative         velocity √{square root over (u₁ ²+u₂ ²)};     -   in the case when u₁=u₂, the cumulative wave energy U₀ per         wavelength, brought by the two superposed orthogonally directed         acoustic waves, is equal double wave energy U₁ per wavelength,         brought by a single wave, i.e. U₀=2U₁.

The inventor points out that the complex acoustic wave is propagating in two orthogonal directions and is characterized by two commensurate oscillations: longitudinal and transversal.

In relation to constructive and destructive interferences, the inventor emphasizes that, in the case of two identical, substantially collinear acoustic waves propagating in a molecular fluid, the constructive interference as well as destructive interference, each resulting in a complex wave bringing the wave energy being fourfold higher than the wave energy of alone acoustic wave, wherein the energetic excess is acquired at the expense of the internal heat energy of the molecular fluid due to the enhanced waving jet-effect, and wherein the latent wave energy of the resulting destructive interference is hidden when one uses a detector, reacting on the fluid molecules oscillating impact, i.e. reacting on the oscillation of locally-excessing pressure.

The inventor further points out that the constructive interference composed of N collinear in-phase acoustic waves, each bringing wave energy U₁, performs the resulting acoustic wave bringing the cumulative usable wave energy U_(N), equal to U_(N)=N²U₁(of cause, while the condition u₊<u_(B+)×M* is satisfied), wherein the energetic excess of ΔU_(N)=N(N−1)U₁ is acquired at the expense of the internal heat energy of the molecular fluid due to the enhanced waving jet-effect.

The inventor points out that, according the reciprocity theorem, if a parent acoustic wave, bringing the usable wave energy U_(N) per wavelength, is subjected to a splitting thereby forming N coherent daughter acoustic waves, each daughter acoustic wave brings the usable wave energy U₁ per wavelength that is lower than the parent usable wave energy U_(N) per wavelength by the factor N², wherein the lack of the wave energy, equal to ΔU_(N)=N(N−1)U₁, becomes dissipated in the molecular fluid.

Modelling an acoustic wave propagating in a molecular fluid, wherein the acoustic wave is interpreted as composed of complex motions, including the Brownian motion and the oscillating motion of molecules, and wherein the two kinds of the motion storing the two kinds of energy: internal heat and wave energy, correspondingly, which are inter-transferring due to the waving jet-effect, is one of the primary teachings of the present invention.

Hypothetic Electromagnetic Analogue

In relation to electromagnetic waves, according to Maxwell's equations, the electromagnetic wave energy is defined by intensity of the oscillating electromagnetic field where the electrical and magnetic fields are oscillating in orthogonal planes and with the 90° phase shift thereby providing constant electromagnetic wave energy along the electromagnetic wave propagation path.

The inventor points out that the mentioned teaching related to acoustic waves, saying that the energy inter-transferring between the acoustic wave and the molecular fluid, is hypothetically applicable to the electromagnetic waves to solve the seemingly confusing paradoxes of the constructive and destructive interference of the electromagnetic waves by assuming that the electromagnetic wave interacts adiabatically with the medium as a part of the universe, which is inherently “filled” by the universe background matter and universe background energy (in particular, comprising the latent energy of “electromagnetic gas”), analogously as the acoustic wave interacts with the molecular fluid.

Seeing the similarity of behaviors:

-   -   on the one hand, of propagation and interference of acoustic         waves, and,     -   on the other hand, of propagation and interference of         electromagnetic waves, for the purposes of the present         invention, the terms “waving jet-effect” and “radiation         jet-effect”, introduced hereinabove in subparagraph “Waves in         Fluid”, further should be understood in a broad sense applicable         also to the electromagnetic waves. Namely, in relation to the         electromagnetic waves:     -   the term “waving jet-effect” or “electromagnetic waving         jet-effect” should be understood as a kind of the         electromagnetic jet-effect specified as a tendency of an         electric field to be attracted to and aligned with a nearby         surface interacting with the electric field, wherein the         mentioned nearby surface is either a real conductive wall and/or         an imaginary wall formed by force-lines of the electric field         itself (i.e. it includes the interaction between nearby portions         of an oscillating electric field); and     -   the term “radiation jet-effect” should be understood as a         well-known phenomenon of electromagnetic radiation pressure,         defined in Maxwell's theory by the Poynting vector and observed         as “pushing” a conductive obstacle exposed to the propagating         electromagnetic wave, as described hereinabove in subparagraph         “Radiation Pressure”,         wherein the waving jet-effect and the radiation jet-effect, both         occur in an adiabatic process accompanied by the energy         inter-conversion between the electromagnetic wave and the         universe background energy.

For the purposes of the present invention, the term “latent electromagnetic wave energy” or “latent electromagnetic radiation energy” should be understood as a form of the electromagnetic energy that:

-   -   is undetectable by a classic detector of electromagnetic         radiation, reacting on the electric field oscillation, i.e.         reacting on the oscillation of locally-excessing electric and/or         magnetic field, and;     -   is detectable by a thermal detector, reacting on the local         thermal radiation, i.e. reacting on the latent electromagnetic         radiation which, when penetrating into a dense molecular body,         becomes perceptual as warmth.

The inventor notes that, while the thermal radiation is a measure of the energetic aspect of the latent electromagnetic wave, it is self-suggested the conjecture that the perception as aroma is specified by the spectral aspect of the latent radiation.

In view of the foregoing understanding of the theoretical aspect of the molecular fluid motion, as headway as well as oscillating, hereinafter, several exemplary embodiments, constructed in accordance with the principles of the present invention and drown quintessentially-schematically, are given for illustrative purposes only and are not meant to be limiting, wherein the logic of applications using acoustic waves is applicable to applications using electromagnetic waves.

Jet-Effect Embodiments Fluid-Repellent Structured Surface

For the purposes of the present patent application, the term “corpus”, specified as a space-portion, bordered by a closed solid shell contacting with ambient fluid, should be understood as a configurational aspect of a body submerged in the fluid.

For the purposes of the present patent application, the introduced term “fluid-repellent” should be understood in a wide sense as a property of a material to repel the fluid.

In particular, a fluid-repellent material is either:

-   -   hydrophobic, i.e. water-repellent; or     -   oleophobic, i.e. oil-repellent; or     -   so-called “omniphobic”, i.e. repelling all known liquids such as         water-based, oil-based, and alcohol-based [in particular, a         hotter surface is omniphobic]; or     -   ion-repellent, i.e. having a charged surface repulsing an         ionized gas or liquid.

The inventor points out that the term “fluid-repellent” assumes a diversity of mechanisms providing the phenomenon of hydrophobicity, for examples:

-   -   the liquid water is diamagnetic, and so a magnet, for instance,         a permanent magnet, is interpreted as hydrophobic;     -   the phenomenon of the Archimedes extrusive force pushing up a         body floating on the surface of liquid water is interpreted as a         kind of hydrophobicity having gravitational nature; and     -   a body rotating around an own axis of rotation, for instance, a         cylinder rotating around its axis of symmetry, results in         centrifugal forces at its rotating surface, and so the rotating         surface is interpreted as omniphobic.

In view of the foregoing description with reference to FIG. 5b , it will be evident to a person skilled in the art that the partial skin-friction static-pressure P_(skin) and, hence, the partial viscous-static-pressure P_(viscous) can be controlled by choosing the body walls' material and constructing the walls porosity, sponginess, and structure providing reduced difference (a_(w)−a−δa). For example, a bird's body is covered by fibrous feathers and fuzz. The fibrous feathers and fuzz, making an outer surface layer constructed substantially from the air, provide that, on the one hand, the fibrous structure improves an airflow streamlining and, on the other hand, the outer surface layer has the effective parameter a_(w) close to the van der Waals parameter a of air (normally, the air is associated with the condition for ideal gas a+δa=0). The minimized difference (a_(w)−a−δa) minimizes the viscosity effect of an imaginary boundary layer, and therefore, an improved aerodynamic property of the bird's body is expected. Furthermore, the feathers and fuzz are hydrophobic, thereby preventing the porosity from filling by water condensed from the natural humid air. Thereby, to weaken an undesired skin-friction effect, one can use a natural or artificial hydrophobic material, having a fibrous and porous structure comprising many small concavities similar to feathers and fuzz or sponge, covering a surface, contacting with humid airflow. Another example is that the greased feathers of a duck are water-repellent, i.e. hydrophobic, providing a free-slip condition for swimming.

FIG. 5c is a schematic illustration of yet another example of a constructive solution, hypothetically interpreted in accordance with the principles of the present invention, providing compensation of skin-friction resistance. A squama surface fragment 521 of fish 520 is shown also as an enlarged sectional view 522. Fish 520's skin 523 secretes hydrophobic mucus 524 retained by fish-scales 525, having a sectional profile of curved cogs. First, hydrophobic mucus 524 covers the surfaces of fish-scales 525, forming a hydrophobic outer layer as an inherent attribute of the fish body 520's hydrodynamic-surface, wherein the condition (a_(w)−a−δa)<0 provides for a free-slip motion. Moreover, protruding fish-scales 525 are configured and arranged such that hydrophobic mucus 524 repels a surrounding water portions 5271, 5272, 5273, and 5274 with repulsive forces 5281, 5282, 5283, and 5284, correspondingly, wherein repulsive forces 5281, 5282, 5283, and 5284 act cumulatively in unison along an airfoil orientation providing for a “negative friction”. This cumulative action, dominantly, in the backward downstream direction provides a repulsing tendency as a kind of jet-effect.

For the purposes of the present patent application, the terms “phobic-repulsing jet-effect”, “fluid-repellent jet-effect”, and, in particular, the term “hydrophobic jet-effect” should be understood as the described kind of jet-effect. A parabolic profile of mucus 524's surface fragment 526 provides for an enhanced hydrophobic jet-effect. Thus, both the hydrophobic outer layer and the scaly structure provide the improved hydrodynamic property of fish 520's body.

Reference is now made to FIG. 5d , showing schematically a sectional view of a shaped wall 530, without loss of generality, oriented horizontally. Shaped wall 530 comprises a relief-structured outer layer 531, contacting with ambient water 532. Layer 531, made from a hydrophobic material, has a form of a bar with a series of teeth-like sharp and asymmetrical protrusions, thereby constituting a saw-like relief.

In view of the foregoing description with reference to FIG. 5c , it will be evident to a person skilled in the art that relief-structured outer layer 531 repels adjacent portions 5371, 5372, and 5373 of surrounding water 532 with forces 5381, 5382, and 5383 correspondingly, wherein forces 5381, 5382, and 5383 are directed dominantly horizontally. This provides a hydrophobic jet-effect that can be useful for motion in the water surrounding. In the case, wherein wall 530 is stationary, the motion of nearby portions 5371, 5372, and 5373 in the prevalent direction [in the case, dominantly horizontal], arises at the expense of the repulsing interactions between the hydrophobic material and the adjacent water portions. This means that, in the final analysis, the water portions motion in the prevalent direction occurs at the expense of the internal heat energy [warmth] of the nearby water portions.

It will be evident to a person skilled in the art that a shape of relief-structured outer layer 531, contacting with surrounding water and having an asymmetrically saw-like configured relief, can be used for transportation of water portions 5371, 5372, and 5373 along the asymmetrically saw-like configured relief, for example, the water transportation along relief-structured inner walls within a capillary tube, where originating a useful hydrophobic jet-effect in addition to so-called “capillarity effect”.

FIG. 5e is a schematic illustration of a transparent-like body having convex-concave corpus 512. Convex-concave corpus 512 has a rounded airfoil outer convex side, and concave side 514, both contacting with ambient fluid 517. A multiplicity of holes [three shown] 513.1, 513.2, and 513.3 links together both: outside portions 517.1 of the ambient fluid 517 and the ambient fluid 517's portions 517.2 contacting with concave side 514. The concavity of side 514 has a parabolic profile with focal point 516. Focal point 516 comprises a heating element [not shown here], powered at the expense of either burned fuel or electricity. Thereby, hotter focal point 516 becomes omniphobic, repelling nearby ambient fluid portions 517.2 by omniphobic-repulsive van der Waals forces. The ambient fluid molecules, subjected to the omniphobic-repulsive van der Waals forces action, acquire a prevalent component of motion directed radially from the heating element at focal point 516 toward concave parabolic side 514. When concave parabolic side 514 reflects the prevalent radial component of the molecules motion, the molecules prevalent motion component becomes collimated collinearly with sagittal axis 519, thereby forming outflowing jetstream 518. The headway motion of outflowing jetstream 518 provides for a jet-thrust. Furthermore, preferably, concave side 514 has outer layer 515 contacting with ambient fluid 517.2. The layer 515 is either heated and/or implemented from a fluid-repellent material. The parabolic profile 514 of fluid-repellent outer layer 515, further acting on the fluid molecules by phobic-repulsive van der Waals forces, partially converts the Brownian random component of the fluid molecules motion into a motion of the molecules in a prevalent direction toward sagittal axis 519, thereby, focusing [i.e. converging] and more accelerating outflowing jetstream 518, in addition to the aforementioned motion collimation.

In particular, it will be evident to a person skilled in the art that the body having convex-concave corpus 512, supplied with a heating element arranged at focal point 516, when submerged in water 517, operates as a motionless hydrophobic-engine or hydrophobic jet-gear or heating-jet engine (having a heating compressor), providing a jet-thrust, wherein one can control the jet-thrust by the heating intensity. A net-efficiency of such a hydrophobic-engine, having a configured convex-concave corpus 512, is defined by the ratio of power consumed by the heating element to the useful kinetic power of outflowing jetstream 518 headway motion. The net-efficiency may come close to 100% if a dominant headway motion of outflowing jetstream 518 is obtained by convex-concave corpus 512 shape optimization. Moreover, water portions 517.2, yet to be accumulated into outflowing jetstream 518, are also subjected to a hydrophobic jet-effect, originated by parabolic fluid-repellent layer 515, resulting in an increase of the outflowing jetstream 518 headway motion kinetic power at the expense of the water warms and thereby, in principle, allowing for the net-efficiency to become even higher than 100%. Furthermore, outflowing jetstream 518 can be further subjected to a convergence by a convergent funnel [not shown here], and thereby, become further accelerated and cooled. Thus, again, the net efficiency can exceed 100% at the expense of the water warmth.

FIG. 5f is a schematic isometry of a body 540 having a wheel-gear-like configured corpus with an overall shape, having a sectional profile similar to a circle-saw, constructed in accordance with an exemplary embodiment of the present invention. Body 540 is submerged in a fluid. The configured corpus of body 540 comprises asymmetrical teeth or teeth-like fins having concave sides, which have outer layers 541, 542, 543, 544, 545, 546, 547 and 548, made from a fluid-repellent material. For simplicity, the fluid is water, and the material is hydrophobic. The hydrophobic sides 541, 542, 543, 544, 545, 546, 547 and 548 of teeth repel the water portions 551, 552, 553, 554, 555, 556, 557 and 558 with phobic-repulsive van der Waals forces 561, 562, 563, 564, 565, 566, 567 and 568 correspondingly, wherein phobic-repulsive van der Waals forces 561, 562, 563, 564, 565, 566, 567 and 568 are directed clockwise, along a substantially-airfoil orientation of wheel-gear-like configured corpus 540. If a hydrophobicity of the teeth sides' material is sufficiently strong, a phobic-repulsing jet-effect, caused by phobic-repulsive van der Waals forces repelling the fluid portions, is observed. The phobic-repulsing jet-effect provides a self-rotation of body 540 in the water surrounding in the inverse-clockwise direction 549 at the expense of the ambient water warmth. Thus, configured corpus 540 provides a hydrophobic jet-effect, accompanied by cooling of the ambient water. Moreover, if the effective diameter 5401 of wheel-gear-like configured corpus 540 is big sufficiently, the momentum of the rotating forces becomes perceptible, according to the Archimedes' theory of lever.

For the purposes of the present patent application, the term “fluid-repellent jet-gear”, having a widened sense, is introduced as relating to a body submerged in a fluid, wherein the body corpus has an asymmetrically configured relief having an airfoil orientation and a layer contacting with the ambient fluid, wherein the layer is either made from a fluid-repellent material and/or comprising a heating element making the layer omniphobic, and wherein the configured relief of the “fluid-repellent jet-gear” corpus comprises asymmetrical protrusions, for example, teeth-like fins, or humps, or screwed blades, or convex-concave elements. The asymmetrical corpus is oriented such that the protrusions' fluid-repellent sides repel the fluid portions in a prevalent direction along the corpus airfoil orientation. In a particular case, the fluid is water, the fluid-repellent material is hydrophobic, and the term “hydrophobic jet-gear” or “hydrophobic-engine” is used.

In view of the foregoing description with reference to FIGS. 5c, 5d, 5e, and 5f , it will be evident to a person skilled in the art that the described specifically constructed outer layer of a fluid-repellent jet-gear corpus, contacting with the ambient fluid, is characterized by the following principle features: the outer layer comprises at least one fragment, being fluid-repellent, and that the fluid-repellent fragment's shape is asymmetrical relative to the direction of fluid motion, such that the fluid-repellent fragment repels the fluid portions in a prevalent direction along an airfoil orientation of the corpus. In the case wherein the prevalent direction is dominantly the same as the direction of the fluid motion, such a constructive solution compensates a skin-friction resistance. As well, it will be evident to a person skilled in the art that the described phobic-repulsing jet-effect is more powerful, if either the repulsive forces of the fluid-repellent material are stronger, and/or the fluid-repellent fragments of the fluid-repellent jet-gear's outer layer occupy a bigger area contacting with the ambient fluid, and/or the fluid-repellent fragment shapes are optimized to enhance the prevalent directivity of the phobic repelling. Thereby, constructive solutions, providing developed surface of fluid-repellent fragments resulting in an increased phobic-repulsing jet-effect, can provide that the increased phobic-repulsing jet-effect becomes stronger than a skin-friction resistance effect and, thereby, enables the fluid-repellent jet-gear motion at the expense of the nearby surrounding fluid matter warmth only, i.e. in an adiabatic process, the fluid portions, adjacent to the fluid-repellent jet-gear, become colder than the fluid portions, yet to be subjected to the phobic-repulsing jet-effect.

In view of the foregoing description with reference to FIG. 5f , it will be evident to a person skilled in the art that:

-   -   a so-called Peltier-element can be adapted to operate as a         thermoelectric generator producing electricity at the expense of         the temperature difference between water portions subjected and         not-subjected to the described hydrophobic jet-effect; and     -   if the ambient fluid is plasma, i.e. an ionized gas or liquid,         then an electrically charged surface, repulsing ions of the         ionized fluid by electrostatic forces, functions as a         fluid-repellent material. In another example, a surface, being         hotter than ambient fluid, functions as a fluid-repellent         material.

FIG. 5g is a schematic top view of an exemplary aggregation 5600 comprising a set of many hydrophobic jet-gears submerged in water. The hydrophobic jet-gears, similar to body 540, described hereinbefore with reference to FIG. 5f , arranged in-lines and in-columns, without loss of generality, in a horizontal plane. In a more general case, also, aggregation 5600 comprises several such horizontal layers, one above the other, that are not shown here. Aggregation 5600, occupying length 5601 and width 5602, for simplicity, each equal to L, and height, equal to H and comprising several horizontal layers. Dashed curves 5603 symbolize that a number of the lines and columns is substantially greater than shown. A fragment of aggregation 5600 is shown also as an enlarged view 560, where neighbor opposite hydrophobic jet-gears 5610 and 5620 differ in directivity of corpuses' overall airfoil orientation and, in particular, in directivity of asymmetrical teeth having hydrophobic outer layers 5613 and 5623 correspondingly. Hydrophobic jet-gears 5610 repel water portions 5614 with forces 5615, directed clockwise, and hydrophobic jet-gears 5620 repel water portions 5624 with forces 5625, directed inverse-clockwise. Thereby, the neighbor opposite hydrophobic jet-gears 5610 and 5620 repel adjacent portions of surrounding water in unison. Aggregation 5600, comprising the multiplicity of relatively small hydrophobic jet-gears 5610 and 5620, provides increased cumulative area of hydrophobic outer layers 5613 and 5623 contacting with water. Thereby, the hydrophobic jet-gears 5610 and 5620 of aggregation 5600 are subjected to a cumulative phobic-repulsing jet-effect that can be estimated for the exemplary arrangement as the following. An exemplary hydrophobicity of a hydrophobic material is characterized by a hydrophobic pressure of P_(h)=0.5 Pa. Imaging a practically implementable hydrophobic jet-gears 5610 and 5620 having an effective diameter of D=1 cm, and comprising 8 teeth, each of gap 5604 d=1.25 mm, and thickness 5605 equal to h=2 mm, one estimates that the hydrophobic-repulsive force per one hydrophobic jet-gear 5610 or 5620 equals F_(h)=P_(h)×8×d×h=0.5×8×1.25×10⁻³×2×10⁻³=10⁻⁵N. On the other hand, one defines the fluid resistance force, indicated by F*_(drag), in the frames of continuum mechanics as F*_(drag)=(6πη×r)u_(t), where r is so-called Stokes's radius, u_(t) is the velocity of a body relative to the considered viscous fluid, and η is the dynamic viscosity of fluid. The dynamic viscosity of water at 20° C. is approximately of r=10⁻³ Pa×sec. In the case of rotating hydrophobic jet-gears 5610 and 5620, the value r is estimated approximately, as r≈h/2, thus, the fluid resistance force F*_(drag) per one hydrophobic jet-gear 5610 or 5620 is estimated as F*_(drag)≈2×10⁻⁵u_(t), wherein the velocity u_(t) means the effective tangential velocity of rotating teeth 5613 and 5623. The condition F_(h)=F*_(drag) defines the reachable effective tangential velocity u_(t) for the case of no-loaded rotation. So, the hydrophobic-repulsive force F_(h)=10⁻⁵N can provide a relatively fast no-load rotation of hydrophobic jet-gears 5610 and 5620 corresponding to the effective tangential velocity of teeth 5613 and 5623, equal to u_(t)=F_(h)/(2×10⁻⁵)≈0.5 m/sec.

Consider an electricity generator producing useful electricity from the surrounding water warmth, wherein either a subset, composed of hydrophobic jet-gears 5610, and/or a subset, composed of hydrophobic jet-gears 5620, powers a rotor of the electricity generator. If the rotation of hydrophobic jet-gears 5610 and/or 5620 is loaded by the electricity generator resulting in the loaded rotation corresponding to the effective tangential velocity of teeth 5613 and/or 5623 equal to u_(h)=1 m/sec, then the rotation power W_(h), produced by the hydrophobic-repulsive force F_(h), is of about W_(h)=(F_(h)−F*_(drag))×u_(h)≈10⁻⁵ W.

A parallelepiped having the horizontal area L×L of 10×10=100 m², and the vertical height of H=1000×h=2 m, can comprise about n=10⁹ hydrophobic jet-gears 5610 and 5620 producing the cumulative hydrophobic power of about n x W_(h)=10 kW. Thereby, such a relatively compact aggregation occupying a volume of 200 m³ can produce an industrial amount of electricity from permanently refreshed warm water. Furthermore, taking into account that the heat of fusion coefficient for water is 335 kJ/kg, the cumulative hydrophobic power of 10 kW, when reduced from water warmth in favor of electrical power, at the same time, allows for crystallization of ice from seawater (i.e. allows for operation as an ice-maker) and thereby enables harvesting of desalinated water, wherein providing an industrial amount of potable water of about 100 kg/hour.

In view of the foregoing description with reference to FIG. 5g , it will be evident to a person skilled in the art that:

-   -   a hydrophobic surface submerged in water operates as a cooler         (analogously as the “cold sink” in the aforementioned example         with the Beverley Clock described hereinabove in subparagraph         “Phenomenon of Hydrophobicity and the Beverley Clock” with the         reference to FIG. 1m );     -   one could implement an electricity generator comprising an         aggregation of fluid-repellent jet-gears and Peltier-elements         operating as thermoelectric generators producing electricity at         the expense of the temperature differences caused by the         phobic-repulsing jet-effect; and     -   an electricity generator, turbo-electric or thermoelectric,         comprising an aggregation of hydrophobic jet-gears could operate         efficiently if the surrounding warm water is permanently either         refreshed and/or consuming caloric; as well,     -   aggregation 5600 of equidistantly arranged hydrophobic         jet-gears, provides for constructive interference of many         in-phase superposed acoustic waves.

FIG. 5h is a schematic isometry of a fluid-repellent propeller 570 submerged in the fluid. For simplicity and without loss of generality, describe fluid-repellent propeller 570 submerged in the fluid as hydrophobic-propeller 570 submerged in water surroundings. Hydrophobic-propeller 570 has asymmetrically screwed and oriented airfoil blades 571. For simplicity, consider a case, when asymmetrical airfoil blades 571 forcedly remain stationary. One of the primary features of hydrophobic-propeller 570 is that asymmetrically screwed and oriented airfoil blades 571, constructed in accordance with an exemplary embodiment of the present invention, have at least one side, without loss of generality, frontal side 573, having a layer, made from a strongly-hydrophobic material. As described hereinabove referring to FIGS. 5c, 5d, and 5f , this feature triggers a hydrophobic jet-effect and, thereby, originates a motion of the water sub-portions forming sub-streams 575 having the motion headway component, co-directed with sagittal axis 574, and a whirling component, caused by airfoil blades 571 asymmetries. To reduce distortions and micro-turbulences of sub-streams 575, another side of asymmetrical airfoil blades 571, hidden in FIG. 5h , is made from a weakly-hydrophobic material and/or has a fibrous and porous layer, making the layer as composed of micro-portions of water held in the pores, thereby, minimizing the difference (a_(w)−a−δa) and, hence, reducing the skin-friction resistance. Assuming an exemplary hydrophobicity of the strongly-hydrophobic material, characterized by a hydrophobic pressure of P_(hp)=0.5 Pa, and considering an implementable small size of hydrophobic-propeller 570, namely, the effective diameter D_(hp)=1 cm, one can estimate approximately that:

-   -   on the one hand, the hydrophobic-repulsive force per one         hydrophobic-propeller 570, indicated by F_(hp), equals         F_(hp)=P_(hp)×0.25π×D_(hp) ²F=P_(hp)×0.25π×D_(hp)=1.25π×10⁻⁵N;         and     -   on the other hand, the fluid resistance force per one         hydrophobic-propeller 570, indicated by F**_(drag), is estimated         in frames of the classical hydrodynamics as F**_(drag)=(6πη×         r_(hp)) u_(hp), where r_(hp) is so-called Stokes's radius,         chosen for the case as r_(hp)=D_(hp)/2, u_(hp) is the effective         local tangential velocity of sub-streams 575 relative to blades         571, and η is the dynamic viscosity of fluid. The dynamic         viscosity of water at 20° C. is approximately of η=10⁻³ Pa×sec.         The condition F_(hp)=F**_(drag) defines the reachable effective         velocity U_(hp). So, the hydrophobic-repulsive force F_(hp) can         provide a relatively fast motion of sub-streams 575 with the         effective local tangential velocity U_(hp), equal to         u_(hp)=F_(hp)/(6πη×r_(hp))≈0.42 m/sec. One can translate the         effective local tangential velocity u_(hp), into the effective         velocity u₅₇₄ of sub-streams 575 headway motion along sagittal         axis 574. The translation depends on the effective angle β_(hp)         of asymmetrically screwed and oriented blades 571 slope relative         to sagittal axis 574. The interrelation is u₅₇₄=u_(hp)         Cos(β_(hp)). For instance, u₅₇₄≈5 cm/sec for β_(hp)=83°. The         headway motion velocity u₅₇₄ defines the hydrophobic headway         repelling power per one small hydrophobic-propeller 570 as         W_(hp)=F_(hp)u₅₇₄, estimated approximately as W_(hp)≈2×10⁻⁴ W.

In view of the foregoing description with reference to FIG. 5h , it will be evident to a person skilled in the art that:

-   -   the hydrophobic pressure pushes a water portion, which further         is subjected to elastic reaction by the ambient water, and so,         in addition to the directional jet-thrust, the action generates         also a peculiar shock-like acoustic wave propagating in the         water medium and being characterized by a peculiar frequency and         peculiar wavelength. In particular, an acoustic wave having a         chiral circumferential polarization is expected in the case, and         hydrophobic-propeller 570 can be interpreted as a source of the         peculiar shock-like acoustic wave; and     -   the described logic, applied to hydrophobic-propeller 570         submerged in water and thereby launching water sub-streams 575,         is applicable to a propeller, similar to hydrophobic-propeller         570, but having frontal surfaces 573 comprising an outer layer,         being electrically charged instead of hydrophobic, and being         submerged in an ionized gas, and thereby functioning making         sub-streams 575 of the ionized gas.

FIG. 5i is a schematic illustration of a stationary spiral 576 submerged in a fluid. Spiral 576 has helically coiled elaborated airfoil-profiled walls, constructed in accordance with an exemplary embodiment of the present invention. The outer surface 577 of spiral 576, is covered by a fluid-repellent material. Without loss of generality, the fluid is water and the material, covering outer surface 577, is hydrophobic, and so, spiral 576 is hydrophobic as well. Such a configuration, acting on the water surroundings by phobic-repulsive van der Waals forces, creates a helically outflowing water jetstream 578, i.e. having two components of motion, namely: headway along sagittal axis 579 and whirling. The motion occurs at the expense of the internal heat energy of water. The stationary hydrophobic spiral 576 can be interpreted as a hydrophobic-engine lunching jetstream 578.

Exemplary Implementation of Constructive Interference

The inventor points out that each ring of spiral 576 acts as a source of a peculiar shock-like acoustic wave, while each pair of the neighbor rings acts as a source of a forced elemental acoustic wave. Furthermore, the sequential in-line arranged pairs of the neighbor rings of spiral 576, acting as an array of sources, generating a multiplicity of the forced elemental acoustic waves, which form a spatial interference with respect to the system of coordinates linked to moving flow 578. Wherein, when, in general, a varying pitch of spiral 576 is especially adapted to the acceleration of water portions, the multiplicity of the forced elemental acoustic waves provides constructive interference where all the forced elemental acoustic waves become superposed in-phase along axis 579. For the sake of clarity, there are N rings in spiral 576 originating N forced elemental acoustic waves, correspondingly. The resulting acoustic wave, formed by the superposition of the N forced in-phase elemental acoustic waves, brings the resulting wave power proportional to the second power of the resulting wave amplitude. Hence, the cumulative usable wave power of the resulting acoustic wave is higher than the sum of powers of the elemental acoustic waves by the factor of N², wherein the self-acquired portion of the resulting wave power is self-extracted from the internal heat energy of the ambient water due to the multi-stage repeated waving jet-effect as described hereinabove in subparagraph “Interference of Acoustic Waves”.

It will be evident to a person skilled in the art that a long screw, similar to stationary hydrophobic spiral 576, can be interpreted as a hydrophobic-oscillator launching acoustic beam 578. As well, the mentioned aggregation 5600 (FIG. 5g ) of equidistantly arranged hydrophobic jet-gears, provides for constructive interference of many in-phase superposed acoustic waves.

The inventor points out to the legendary story about Tesla's mechanical oscillator, claimed extra-powerful acoustic wave generation of which becomes believable in view of the foregoing description.

In contrast to the resonance scheme by Tesla, the proposed superposition of N in-phase acoustic waves (wherein N is a specified number), to provide for the desired constructive interference bringing usable wave power, is easily controllable.

It will be evident to a person skilled in the art that the long screw supplied with an acoustic wave power detector as a power converter is capable of operating as an electricity generator producing electricity from the water warmth due to the hydrophobic jet-effect and the enhanced waving jet-effect.

In view of the foregoing description with reference to FIGS. 5c, 5d, 5f, 5g, 5h, and 5i , it will be evident to a person skilled in the art that:

-   -   hydrophobic-propeller 570 and hydrophobic spiral 576 can be         interpreted as kinds of a fluid-repellent jet-gear, where         asymmetrically screwed and oriented airfoil blades are used         instead of primitive teeth-like fins; and     -   one can implement fluid-repellent jet-gears of various         configurations, for example, having an overall shape in a form         of either a saw, or a circle-saw, or a spiral staircase, or a         propeller, or a screw of Archimedes.

Rational Explanation of Origin of Life

In view of the foregoing description with reference to FIG. 5i , where an asymmetrical spiral, having a form of the Archimedean screw and having a hydrophobic surface, originates a helical motion of fluid, one expects that, contrariwise, if the asymmetrical spiral, having a hydrophobic surface, is decomposed into many separate chiral particles having a hydrophobic side and being submerged in water, where being arranged and oriented randomly, like a suspended matter, then the water, forcedly and certainly helically-flowing around the separate chiral particles, has a predominance to organize the chiral particles into the mentioned asymmetrical spiral in the form of the Archimedean screw, while other particles, geometries of which are not in a conformance with the water motion, remain not organized into a spiral. Thus, in accordance with the principles of the present invention, a mechanism, providing a regularized aggregation of separate left-handed stereoisomers of amino acids into a coiled sequence thereby forming a ribonucleic acid (RNA) molecule, hypothetically, can be specified and implemented artificially. Furthermore, a certain, forced spatial distribution of water flow velocities can provide for that right-handed stereoisomers of amino acids become aggregated in an orderly manner into a nonexistent inversely-screwed right-chiral molecule, which is mirror-symmetrical to a natural RNA.

Reference is now made to FIG. 5j , a schematic illustration of a pair of hydrophobic-propellers: 570 and 580. Hydrophobic-propeller 570 is the same as shown and described hereinabove referring to FIG. 5h . All reference numerals 571, 573, 574, and 575 are the same as described referring to FIG. 5h . Hydrophobic-propeller 580 has stationary airfoil blades 581, asymmetrically screwed and oriented relative to sagittal axis 584. An imaginary compound of blades 571 and sagittal axis 574 is mirror-symmetrical to an imaginary compound of blades 581 and sagittal axis 584. The chiral compounds are arranged sequentially such that sagittal axes 574 and 584 are collinear. Analogous to the case of blades 571, frontal side 583 of blades 581 is covered with a layer, made from a strongly-hydrophobic material; while, to reduce distortions and micro-turbulences of sub-streams 585, another side of asymmetrical airfoil blades 581, hidden in FIG. 5h , is made from a weakly-hydrophobic material and/or has a fibrous and porous layer, making the layer, contacting with ambient water, as composed of micro-portions of water held in the pores, thereby, minimizing the difference (a_(w)−a−δa) and, hence, reducing the skin-friction resistance. Airfoil blades 581, triggering the hydrophobic jet-effect, accelerate the water sub-portions forming sub-streams 585 having the motion headway component, co-directed with sagittal axis 584, and a whirling component. As asymmetrical blades 571 and 581 are mirror-symmetrical, the whirls of sub-portions 575 and 585 are in mutually-opposite directions; and as sub-streams 585 are the downstream-continuations of sub-streams 575, the whirls of sub-streams 575 and 585 become mutually-suppressed. Thus, the chiral compounds, being mutually complemental and pushing water forward, create resulting jetstream 588, having dominant headway motion originated by the blades frontal sides hydrophobicity and at the expense of the water warmth. The pair of chiral hydrophobic-propellers 570 and 580 can be considered as a whole and be interpreted as hydrophobic-device 590 lunching jetstream 588. Wherein the power, indicated by W₅₈₈, of jetstream 588, launched by small hydrophobic-device 590, having the effective diameter D=1 cm, is higher than 2W_(hp), because the mutually-suppressed and therefore reduced power of sub-streams 575 and 585 whirls is at least partially transformed into the power of jetstream 588 headway motion.

The inventor points out that the pair of chiral hydrophobic-propellers: 570 and 580 generates a forced elemental acoustic wave with the wavelength equal to the distance between the chiral hydrophobic-propellers: 570 and 580 along sagittal axis 574. It will be evident to a person skilled in the art that a multiplicity of in-line cascaded pairs of chiral hydrophobic-propellers: 570 and 580 causes as an accelerated jetstream as well as interference of the forced elemental acoustic waves, and using an adapted pitch between and within the pairs, a controlled interference: either constructive and/or destructive, becomes applicable.

FIG. 5k is a schematic illustration of a stationary pair of unbroken chiral spirals having shapes of the Archimedean screws, briefly, screws 592 and 593 having helically coiled airfoil-profiled walls, constructed in accordance with an exemplary embodiment of the present invention. Screws 592 and 593 have a common sagittal axis 594 and differ in direction of coiling: clockwise and inverse-clockwise from a frontal point of view. Chiral screws 592 and 593 are submerged in a fluid. The outer surfaces 596 and 597 of chiral screws 592 and 593, correspondingly, are covered by a fluid-repellent material. Without loss of generality, the fluid is water and the material, covering outer surfaces 596 and 597, is hydrophobic. Such a configuration, acting on the water surroundings by phobic-repulsive van der Waals forces, creates an outflowing water jetstream 595 moving dominantly along sagittal axis 594, wherein the whirling component of the motion is suppressed. Again, the motion occurs at the expense of the water warmth. The stationary pair of chiral screws: 592 and 593, can be considered as a whole and be interpreted as a hydrophobic-device 591 lunching jetstream 595.

In view of the foregoing description with reference to FIGS. 5h, 5i, 5j, and 5k , it will be evident to a person skilled in the art that hydrophobic-device 590 and/or 591 can be supplied with a Peltier element, capable of operating as a thermoelectric generator producing electricity from the temperature difference caused by the hydrophobic jet-effect. As well, if asymmetrical airfoil blades 571 and/or 581 and/or 592 and/or 593 are capable of rotation, then the hydrophobic-repulsive force F_(hp) results in rotations of the asymmetrical airfoil blades, and hydrophobic-propellers 570 and 580, as well as hydrophobic-devices 590 and/or 591 can be applied to electricity generation using a turbine-generator.

In view of the foregoing description with reference to FIGS. 5e, 5h, 5i, 5j, and 5k , it will be evident to a person skilled in the art that hydrophobic-devices 512 and/or 590 and/or 591 can be cascaded sequentially and in-parallel, and a big submarine can be supplied with an aggregated jet-device, composed of many small hydrophobic-devices 512 and/or 590 and/or 591 and thereby providing a substantial cumulative jet-thrust.

The pair of chiral screws: 592 and 593 generates a forced resulting acoustic wave propagating along sagittal axis 594. The forced resulting acoustic wave is composed of elemental acoustic waves originated by each ring of the screws.

The inventor points out that a long screw, either alone as screw 576 shown in FIG. 5i , or combined as the pair of screws: 592 and 593, constructed to provide an in-phase superposition of a big number N of generated elemental acoustic waves, results in the constructive interference forming a combined acoustic wave, bringing the usable wave power that higher than the usable power of one elemental acoustic wave by the factor of N².

Aerodynamic and Hydrodynamic Effects

In view of the foregoing description with reference to FIGS. 4, 5 a, 5 b, 5 c, 5 d, 5 e, 5 h, 5 i, 5 j, and 5 k, it will be evident to a person skilled in the art that, considering flow as moving molecular fluid, when a flow portion is flowing around a body, the flow portion and body become subjected to the following main aerodynamic and hydrodynamic effects, differing in mechanism of originating:

-   -   stagnation of the flow portion impacting the body resulting in         drag of the body;     -   sticking of the flow portion to the body resulting in         skin-friction;     -   attracting and thereby redirecting of the flow portion to a         smoothly curved body surface, i.e. the Coanda-effect as a kind         of jet-effect, resulting in a lift-force acting on the body;     -   convective (i.e. jet-effect) self-acceleration, resulting in         jet-thrust acting on the body, wherein the jet-thrust is         vectored against the flow portion acceleration and hence,         against the flow portion headway motion;     -   an adiabatic compression and/or extension acting on the body by         the static pressure and temperature variations, both changing         adiabatically;     -   the turbulence of the flow portion, swirling and vibrating the         body and ambient surroundings;     -   diffusion, interrelated with the osmotic-like partial pressure,         resulting in penetrating the flow portion into the ambient         molecular fluid and, vice-versa, in entrapping the ambient         molecular fluid by the flow portion (this effect is also         frequently called the Coanda-effect);     -   hydrophobicity of the body, resulting in repelling the flow         portion and thereby originating the hydrophobic jet-effect; and     -   peculiar and forced oscillation of fluid portions, both being         interrelated with the waving jet-effect and resulting in         peculiar and forced acoustic waves, correspondingly.         All the effects contribute in the         cumulative-inner-static-pressure acting on the boundaries of the         flow portion. As the effects differ in mechanism of originating,         the proportion of the mentioned effects action intensity may         vary, depending on both: a geometry of the body and a velocity         of the flow. In a certain situation, when the body has an         airfoil shape, the component of jet-thrust may exceed the drag         and skin-friction, thereby providing a positive net jet-thrust         against the flow, as it occurs, for example, with a sailboat,         when a point of sail belongs to the “close-hauled” group “B”, as         described hereinabove with reference to FIG. 1i . As well, the         generated as peculiar as well as forced acoustic waves, when         superposed, constitute interference, the resulting wave power of         which is acquired from the fluid warmth due to the waving         jet-effect.

Electromagnetic Accompanying

Reference is now made again to FIG. 5i , wherein now, the ambient fluid is a water-based electrolyte.

The inventor points out that, in this case, each ring of spiral 576, acting as a source of a peculiar acoustic wave, generates also as a peculiar electromagnetic wave, as well, each pair of the neighbor rings acts as a source of a forced elemental electromagnetic wave. Furthermore, the sequential in-line arranged pairs of the neighbor rings of spiral 576 acts as an array of sources, generating a multiplicity of the forced elemental electromagnetic waves, which form spatial interference. For the sake of clarity, there are N rings in spiral 576 originating N forced elemental electromagnetic waves, correspondingly. Considering the elemental electromagnetic waves propagating along axis 579 only, when a pitch of spiral 576 is equidistant and thereby providing a certain time-delay interrelated with a phase-shift between the forced elemental electromagnetic waves, the multiplicity of the N forced elemental electromagnetic waves forms a constructive interference along the axis 579, where all the N forced elemental electromagnetic waves become superposed in-phase.

The resulting electromagnetic wave, formed by the superposition of the forced in-phase elemental electromagnetic waves, brings the resulting usable wave power proportional to the second power of the resulting amplitude of the oscillating electric field. Hence, the cumulative usable wave power of the resulting electromagnetic wave is higher than the usable wave power of one elemental electromagnetic wave by the factor of N² and is higher than the sum of usable wave powers of all the N elemental electromagnetic waves by the factor of N, wherein the self-acquired portion of the resulting electromagnetic wave power is self-extracted from the universe background energy (at least from the electromagnetic gas heat-like energy) stored in the space due to the electromagnetic waving jet-effect as described hereinabove:

-   -   in relation to an electric flux, with the reference to prior art         FIG. 1f , and     -   in relation to an electromagnetic wave, in subparagraph         “Hypothetic Electromagnetic Analogue”.

The inventor points out that a specifically arranged sequence of sources of acoustic waves in an electrolyte that, in the final analysis, is the specifically arranged sequence of sources of elemental electromagnetic waves (for instance, similar to spiral 576 representing a helical antenna launching chiral circularly-polarized radio waves), when supplied with a detector of the resulting electromagnetic wave power as a power converter which is capable of transformation of the electromagnetic wave power into electrical power, becomes capable of operating as a generator of electricity, producing the electrical power from the universe background energy stored in the space occupied by the electrolyte due to the electromagnetic waving jet-effect.

Generalized Generator of Useful-Beneficial Power

The foregoing description, expound hereinabove in subparagraphs:

-   -   “Exemplary Implementation of Constructive interference”,         proposing a generator of electricity capable of producing the         electrical power from the ambient warmth due to the acoustic         waving jet-effect; and     -   “Electromagnetic Accompanvinq”, proposing a generator of         electricity capable of producing the electrical power from the         universe background energy due to the electromagnetic waving         jet-effect;         both with reference to FIG. 5i , is further summarized         hereinbelow as a description of a generalized generator for         producing a useful-beneficial power, constructed according to         the principles of the present invention to harvest the         useful-beneficial power from at least one of:     -   the ambient warmth, in relation to the mechanic power of a         moving molecular fluid and acoustic waves; and     -   the universe background energy, in relation to the         electromagnetic power of electromagnetic waves.

FIG. 5I is a schematic illustration of the generalized generator 5.00 for producing the useful-beneficial power, constructed in accordance with the principles of the present invention.

For the purposes of the generalization, a set of interrelated terms are defined as follows:

-   -   (a) peculiar shock-like wave is defined as a reaction originated         by a local acceleration of a fluid portion in a prevalent         direction and as a peculiar wave, propagating in the accelerated         headway-moving portion of fluid;     -   (b) an elemental wave is defined as at least one of an acoustic         wave and electromagnetic wave; said elemental wave being at         least one of said peculiar shock-like wave and a forced wave;     -   (c) wave is defined as a complex wave being composed of         elemental waves, wherein said wave being characterized by         resulting amplitude defined as the vector sum of amplitudes of         said elemental waves;     -   (d) radiation jet-effect is defined as inter-related effects:         -   of a radiation pressure of wave, wherein the radiation             pressure is at least one of acoustic and electromagnetic,             and         -   of wave energy traveling in a prevalent direction, wherein             the wave energy is at least one of acoustic and             electromagnetic;     -   (e) acoustic waving jet-effect is defined as a kind of the         Coanda-jet-effect, being applied to inner portions of fluid, as         a tendency of an oscillatory moving-small-portion to be         attracted to and aligned with a curvature of a nearby fragment         of an imaginary boundary of said inner portion;     -   (f) electromagnetic waving jet-effect is defined as a tendency         of an electric field to be attracted to and aligned with a         nearby surface interacting with the electric field, wherein said         nearby surface is at least one of a real conductive wall and an         imaginary wall formed by force-lines of the electric field         itself;     -   (g) waving jet-effect is defined as at least one of the acoustic         waving jet-effect and the electromagnetic waving jet-effect;     -   (h) phobic-repulsing jet-effect is defined as a kind of         jet-effect, occurring in a fluid near to a surface made from a         fluid-repellent material;     -   (i) generalized jet-effect is defined as an effect of fluid         portion convective acceleration at the expense of fluid portion         internal heat energy that is inherently characterized by a         decrease in original temperature of said fluid portion in an         adiabatic process, wherein the generalized jet-effect is at         least one of the Venturi effect, the Coanda-jet-effect, the         acoustic waving jet-effect, the electromagnetic waving         jet-effect, the radiation jet-effect, and the phobic-repulsing         jet-effect;     -   (j) a usable wave power is defined as a partial wave power of a         complex wave being composed of elemental waves, being superposed         and thereby resulting in partially constructive interference and         partially destructive interference, wherein said partial wave         power being proportional to the second power of the resulting         amplitude of said wave, and hence being detectable by a classic         detector of waves, reacting on the resulting amplitude of wave;     -   (k) a latent wave power is defined as a partial wave power of a         complex wave being composed of elemental waves, being superposed         and thereby resulting in partially constructive interference and         partially destructive interference, wherein said partial wave         power being undetectable by a classic detector of waves,         reacting on the resulting amplitude of wave, and being         detectable by a thermal detector, reacting on the local thermal         radiation;     -   (l) warmth of a molecular fluid is defined as a storage of the         kinetic power of the fluid molecules;     -   (m) the universe background energy is defined as a latent energy         stored in space, wherein the universe background energy being         composed of at least the latent electromagnetic energy;     -   (n) fluid flow is defined as a molecular fluid, bringing the         warmth and origin kinetic power of motion in a prevalent         direction;     -   (o) the specific M-velocity, indicated by M*, related to said         fluid flow, is defined as equal to √{square root over         ((γ−1)/γ)}, where γ is so-called adiabatic compressibility         parameter of said molecular fluid;     -   (p) the specific kinetic power, indicated by W*, is defined as         kinetic power of fluid flow moving with the specific M-velocity         M*;     -   (q) a raw power is defined as a power yet to be in a useful         form;     -   (r) a generalized stock of said raw power is defined as at least         one of:         -   the warmth of ambient fluid, storing the kinetic power of             molecules, and         -   the universe background energy, storing the latent             electromagnetic energy;     -   (s) a starter power, indicated by W_(external), is defined as at         least one of:         -   thermal power harvested from a burned fuel,         -   external electrical power,         -   kinetic power of fluid flow,         -   internal heat power of fluid flow, frequently called warmth             of ambient fluid, and         -   electromagnetic power brought by sunlight;     -   (t) a generalized trigger of jet-effect is defined as a         component of a system, said component being characterized by a         field, being spread in ambient fluid medium and thereby making         said system to be open from the thermodynamics point of view,         wherein said component is at least one of:         -   a fluid flow 5.41, to trigger at least one of the Venturi             effect, the Coanda-jet-effect, and the waving jet-effect;             wherein the mentioned field is a field of flow velocities;             wherein, looking ahead in view of the description of             subparagraph “Convergent-Divergent Jet-Nozzle” referring to             FIG. 6a of the invention, it will become evident to a person             studied the present invention that the relatively slow fluid             flow 5.41, which yet can be accelerated by the             Coanda-jet-effect, is characterized by M-velocity being             lower than the specific M-velocity, indicated by M*,             specified in equation (6.9);         -   a fluid-repellent surface (for instance, similar to outer             surface 577 of spiral 576 shown in FIG. 5i ), to trigger the             phobic-repulsing jet-effect, wherein the mentioned field is             a field of repulsing forces; and         -   an electromagnetic field, to trigger the electromagnetic             waving jet-effect;     -   (u) an airfoil convexity of a corpus exposed to said fluid flow         is defined as a convexity being “embraced” by two edges in the         direction of said fluid flow motion, namely:         -   by a rounded leading edge, upstream of said fluid flow             motion; and         -   by a sharp trailing end, downstream of said fluid flow             motion;     -    thereby, providing airfoil properties of said corpus and hence         providing that said airfoil convexity, when interacting with         said fluid flow portion, causing a conversion of a portion of         said fluid warmth into a portion of kinetic power acquired by         said fluid flow portion due to the Coanda-jet-effect in an         adiabatic process;     -   (v) a generalized elemental source launching an elemental usable         power portion of at least W₁ is defined as a device transforming         an elemental pre-usable power portion into said elemental usable         power portion of at least W₁; wherein said generalized elemental         source is at least one of:         -   a fluid flow portion moving nearby said airfoil convexity             (for instance, similar to outer surface 577 of spiral 576             shown in FIG. 5i ),         -   wherein said elemental pre-usable power portion is composed             of an original internal heat power of fluid flow and an             original kinetic power of fluid flow; and         -   wherein said elemental usable power portion, equal to at             least W₁, is specified as the kinetic power of fluid flow             composed of the original kinetic power of fluid flow and an             additional portion of kinetic power acquired in an adiabatic             process due to at least one of the Venturi effect and the             Coanda-jet-effect;         -   an antenna of acoustic waves, capable of a receiving said             elemental pre-usable power portion, equal to at least W₁ and             a launching an acoustic wave bringing said elemental usable             power portion of at least W₁;         -   an antenna of electromagnetic waves, capable of a receiving             said elemental pre-usable power portion, equal to at least             W₁ and a launching an electromagnetic wave bringing said             elemental usable power portion of at least W₁;     -   (w) a generalized elemental feeder is defined as an interface of         power between said generalized stock and said generalized         elemental source, wherein said interface consuming said starter         power W_(external) and being capable of conversion said raw         power, extracted from said generalized stock, into said         elemental pre-usable power portion and supplying the elemental         pre-usable power portion to said generalized elemental source         launching said elemental usable power portion of at least W₁,         wherein said generalized elemental feeder being at least one of:         -   a fluid flow portion 5.41 moving nearby said airfoil             convexity of a corpus (for instance, similar to outer             surface 577 of spiral 576 shown in FIG. 5i ) exposed to said             fluid flow 5.41;         -   thereby, causing that:             -   (i) a portion of origin kinetic power, indicated by W₀,                 brought by said fluid flow portion yet to be subjected                 to the Coanda-jet-effect, being lower than the specific                 kinetic power W*, and coming to said airfoil convexity,                 and             -   (ii) the kinetic power, indicated by δW₁, of said fluid                 flow portion, acquired due to the Coanda-jet-effect in                 an adiabatic process,         -   both constitute said elemental pre-usable power portion,             indicated by W₁=W₀+δW₁, remaining lower than the specific             kinetic power W, and being higher than W₀ at least by factor             F₁ to satisfy the condition: F₁W₀=W₁<W*;         -   a generalized engine providing powering an antenna of             acoustic waves by said elemental pre-usable power portion of             at least W₁; and         -   a generalized engine providing powering an antenna of             electromagnetic waves by said elemental pre-usable power             portion of at least W₁;     -   (x) a generalized jet-converter of power is defined as an         aggregation comprising a conductor 5.30 of traveling power and a         gathering of N said generalized elemental sources (marked by set         5.10 of numerals: 5.11, 5.12, 5.13, . . . , 5.1N) launching         corresponding N said elemental usable power portions (marked by         numerals 5.31, 5.32, 5.33, . . . , 5.3N), wherein said         aggregation (5.30 and 5.10) providing an operation of said N         generalized elemental sources 5.10 (5.11, 5.12, 5.13, . . . ,         5.1N) in unison, thereby making said generalized jet-converter         of power being capable of a transformation said raw power into         said useful power 5.40, wherein said transformation is         implemented using a multi-stage repeating of said generalized         jet-effect provided by said generalized trigger of jet-effect;         said aggregation is at least one of:         -   an aggregation of a conductor 5.30 of flow and N said             airfoil convexities, sequentially arranged to be exposed to             said fluid flow portion, moving along said conductor of flow             and coming to said N airfoil convexities and flowing around             said N airfoil convexities sequentially, thereby, said             aggregation providing a sequential multi-stage repeated             action of said N airfoil convexities on said fluid flow             portion resulting in a corresponding multi-stage repeating             of the Coanda-jet-effect operation applied to said             transformation of said raw power into said useful power,             indicated by W_(N), in the form of kinetic power of a             resulting jetstream; thus, while said useful power remaining             substantially lower than the specific kinetic power W*, said             useful power W_(N) 5.40 of said resulting jetstream is             higher than said portion of origin kinetic power, indicated             by W₀, brought by said fluid flow portion 5.41 yet to be             subjected to the Coanda-jet-effect, by the factor of at             least F₁ ^(N);         -   an aggregation of a waveguide 5.30 and N said antennas of             waves, specifically arranged and synchronized to launch N             in-phase waves, correspondingly, and thereby to provide             constructive interference of said N in-phase waves within             said waveguide, wherein each of said N waves bringing said             elemental usable power portion of at least W₁ thereby             providing that said constructive interference of N said             waves thereby subjected to the waving jet-effect, in-phase             reinforced repeatedly N times, thereby forming a resulting             wave bringing said useful power 5.40 in form of wave power             of at least W_(N) being higher than the elemental pre-usable             power portion W₁ by the factor of N²;         -   wherein, without loss of generality but for the sake of             concretization, the inter-synchronization of the N sources             5.11, 5.12, 5.13, . . . , 5.1N of waves 5.31, 5.32, 5.33, .             . . , 5.3N, correspondingly, is implemented applying certain             delays, for instance, using a certain intervals 5.42 between             the sources 5.11, 5.12, 5.13, . . . , 5.1N, thereby             providing for that, when propagating within waveguide 5.30,             the waves 5.31, 5.32, 5.33, . . . , 5.3N become in-phase             superposed thereby resulting in constructive interference;             and     -   (y) said generalized power converter 5.20 is defined as an         engine providing a mechanism for a reincarnation of said useful         power 5.40 into said useful-beneficial power, wherein said         engine is at least one of:         -   open space, thereby providing conditions for reincarnation             of said useful power W_(N) of said resulting jetstream into             said jet-thrust power, according to Newton's Third Law;         -   a turbo-generator (shown schematically as a generalized             antenna 5.20), capable of transformation said useful power             W_(N) of said resulting jetstream 5.40 into the electrical             power 5.42;         -   a Peltier element operating as a thermoelectric generator,             primary producing electricity from the temperature             difference caused by said generalized jet-effect;         -   a generalized receiving antenna 5.20 having a feeder output             5.42, wherein said generalized receiving antenna 5.20 being             capable of conversion said useful power W_(N) 5.40 of said             resulting wave 5.40 into the electrical power 5.42, and             wherein said feeder output 5.42 providing the electrical             power release.             The generalized generator 5.00 comprises the following             generalized constituent elements:     -   a generalized starter, being composed of:         -   said ambient fluid medium;         -   N generalized elemental feeders, enumerated by 5.21, 5.22,             5.23, . . . , 5.2N, being energetically inter-independently             powered; and         -   a generalized stock of a raw power, storing the power yet to             be in a useful form;     -   a generalized trigger of the generalized jet-effect; and     -   a generalized jet-converter of power, comprising an aggregation         of a conductor 5.30 of traveling power and a gathering 5.10 of N         generalized elemental sources, enumerated by 5.11, 5.12, 5.13, .         . . , 5.1N, launching N elemental usable power portions,         enumerated by 5.31, 5.32, 5.33, . . . , 5.3N, correspondingly;         wherein the triple-dots, having numerals 5.14 and 5.24:         -   symbolize the conformance between the N generalized             energetically inter-independent feeders and the N             generalized elemental sources of the N elemental usable             power portions correspondingly, as well as         -   say that, preferably, N is a certain big number, wherein the             big integer number N having the claimed sense is at least             10;     -   and     -   a generalized power converter 5.20 transforming said useful         power into said useful-beneficial power.

In relation to electromagnetic waves, without loss of generality but for the sake of concretization only, the waveguide 5.30 is characterized by a high dielectric constant, higher than the dielectric constant of the ambient medium, wherein the high dielectric constant provides for the condition of the so-called total internal reflection of the electromagnetic waves, i.e. providing for a hypothetically ideal lossless waveguide effect.

In relation to both: the acoustic waves and the electromagnetic waves, each of the N sources 5.11, 5.12, 5.13, . . . , 5.1N of waves 5.31, 5.32, 5.33, . . . , 5.3N, correspondingly, consumes the power W₀ and launches a wave (one of 5.31, 5.32, 5.33, . . . , 5.3N, correspondingly) bringing the wave power W₁. Speaking strictly, as it follows from the description expound hereinabove in subparagraphs “Interference of Acoustic Waves” and “Hypothetic Electromagnetic Analogue”, the consumed power W₀ differs from the wave power W₁ brought by the wave, wherein the difference (W₁−W₀), on the one hand, is defined by a positive power portion acquired due to the waving jet-effect and radiation jet-effect and, on the other hand, is defined also by a negative power portion lost due to wave power dissipation in the ambient medium. When ignoring the negative power portion, one usually interprets that W₁=W₀, just ignoring the work for the wave energy travelling itself that must be supported by a certain power according to The Energy Conservation Law. The mentioned positive power portion, harvested due to the waving jet-effect, goes for the wave energy travelling. Normally, the consideration of the wave power without the power consumption for the wave energy traveling itself is justified when one estimates a useful-beneficial power only.

The inventor emphasizes that sources 5.11, 5.12, 5.13, . . . , 5.1N of waves 5.31, 5.32, 5.33, . . . , 5.3N, correspondingly, are fed energetically inter-independently. For example, each of the sources consumes the power from a separate generalized generator of electrical signals to feed the corresponding wave. Alternatively, a feeding, using different periods of a wave, is also interpreted as energetically inter-independent; but in contrast, a “multi-source” feeding, implemented by means of a splitting of a high power, cannot be interpreted as an inter-independent feeding.

The inventor points out that the importance of the energetic inter-independence of the sources 5.11, 5.12, 5.13, . . . , 5.1N is predetermined by the reciprocity theorem, which, when applied to the case, saying that, when a parent wave, bringing the usable wave energy U_(N) per wavelength, is subjected to a decomposition thereby forming N coherent daughter waves, each daughter wave brings the usable wave energy U₁ per wavelength that is lower than the parent usable wave energy U_(N) per wavelength by the factor N², but not by the factor N, wherein the lack of the wave energy, equal to ΔU_(N)=N(N−1)U₁, becomes transformed into the latent energy of the ambient medium (in the case of electromagnetic waves, the ambient medium is the vacuum filled by the universe background energy, comprising the latent energy of “electromagnetic gas”).

Thus, considering actually energetically inter-independent sources 5.11, 5.12, 5.13, . . . , 5.1N, for the sake of simplicity, ignoring the difference between W₀ and W₁, the sum power W_(N1), consumed by the N energetically inter-independently fed sources 5.11, 5.12, 5.13, . . . , 5.1N, is equal to W_(N1)=NW₁. The inter-synchronization of the N sources 5.11, 5.12, 5.13, . . . , 5.1N of waves 5.31, 5.32, 5.33, . . . , 5.3N is implemented applying certain delays, for instance, using certain intervals 5.42 between the sources 5.11, 5.12, 5.13, . . . , 5.1N, thereby providing for that, when propagating within waveguide 5.30, the waves 5.31, 5.32, 5.33, . . . , 5.3N become in-phase superposed thereby resulting in constructive interference.

The constructive interference is the resulting extra-high power wave 5.40 characterized by the increased amplitude (for instance, the amplitude of oscillating electric field), wherein the amplitude increase is specified by the factor N that corresponds to the resulting wave power W_(N2) equal to W_(N2)=N²W₁=NW_(N1).

The inventor points out to the power difference between W_(N2) and W_(N1), namely, (W_(N2)−W_(N1))=N(N−1)W₁. In the case of acoustic waves, the power difference is acquired at the expense of the molecular fluid warmth, and in the case of electromagnetic waves, the power difference is acquired at the expense of the universe background energy (at least at the expense of the latent electromagnetic energy stored in the electromagnetic gas). Without loss of generality, the generalized power converter 5.20 is implemented as an antenna, exposed to the extra-high power wave 5.40. Generalized power converter 5.20 is capable of conversion of the extra-high power W_(N2) of wave 5.40 into the electrical power released from feeder output 5.42 of generalized detector 5.20.

The inventor points out that, in contrast to the resonance electrical scheme of Tesla coil applied to induced oscillating electrical current to enable a radiation of super-impressive lightning impulses, the proposed superposition of N in-phase electromagnetic waves (wherein N is a specified number), to provide for the desired constructive interference bringing usable wave power, is easily controllable.

Gravity-Jet Engine

FIG. 5m is a schematic illustration of motionless gravity-jet engines: 5.50 and 5.60, each comprising an elaborated airfoil shaped container: gauge 5.51 and primary 5.61, correspondingly, being permanently filled with liquid (for instance, water) 5.70 characterized by the density, substantially higher than the density of ambient gas (for instance, air). The upper surface of water in each of containers: 5.51 and 5.61, is on level 5.71 and has cross-sectional area A₀ 5.72. The inner side of the container walls is hydrophobic (to reduce the walls resistance) and the elaborated airfoil shape of each of containers: 5.51 and 5.61, provides the condition of a cross-sectional area decrease in the vertical direction from the value A₀ 5.72 to the value A₁ 5.73 that (the decrease) corresponds to the cross-sectional area decrease for water, which is freely falling in the gravitational field.

The inventor points out that the freely falling of fluid occurs with an acceleration, which differs from the gravitational acceleration of a material point (or sold body) by an additionally acquired acceleration, because of two accompanying effects, namely:

-   -   a part of potential energy goes for a work for deformation of         the falling fluid portions, which (the deformation) results in         elongation of water portions in the vertical direction, i.e.         results in the acquired acceleration by definition, and, in         turn,     -   the fluid portions deformation in combination with the fluid         motion is inevitably accompanied by the Venturi effect having         the jet-effect nature, thereby providing for the additionally         acquired acceleration at the expense of the internal heat of the         fluid.

The gauge container 5.51 is supplied with gauge curved convergent-divergent nozzle 5.52 and the primary container 5.61 is supplied with primary curved converging nozzle 5.62, wherein the volume of the container (5.51 or 5.61) is much bigger than the volume of nozzle (5.52 or 5.62, correspondingly) to ignore of the moving water pulse change when considering the water stream changing the velocity vector within the curved nozzle (5.52 or 5.62, correspondingly). Wherein:

-   -   The gauge convergent-divergent nozzle 5.52 is beginning from         cross-section 5.73 and leading to gauge-ending cross-section         5.53, wherein the beginning and ending cross-sections: 5.73 and         5.53, correspondingly, both have identical area equal to A₁ and         both are located at the same level 5.74, which is lower than         level 5.71 on height h₀ 5.75; and moreover, the varying         cross-section of the convergent part is adapted to freely         descending water and the divergent part is aligned inversely to         the convergent part (i.e. adapted to freely ascending and         retarding water); and     -   The primary converging nozzle 5.62 having an elaborated airfoil         cross-section beginning from cross-section 5.73 and leading to         primary-ending cross-section 5.63, wherein the both         cross-sections are at the same level 5.74 such that the distance         between levels 5.71 and 5.74 equals h₀ 5.75; and wherein the         area A₁ of beginning cross-section 5.73 is greater than the area         A₂ of primary-ending cross-section 5.63 by the factor F of         constriction, i.e. A₁=F×A₂ A₁=F×A₂. Looking ahead, the equations         (6.13) and (6.14), described hereinbelow in subparagraph         “Convergent-Divergent Jet-Nozzle” with reference to FIG. 6a ,         when applied to a fluid flowing through an elaborated         actually-airfoil convergent-divergent jet-nozzle with extremely         low M-velocities, is applicable to a proper design of the         mentioned elaborated airfoil converging nozzle 5.62 to provide         for the water stream laminarity when the water stream is         subjected to the Venturi effect. This means that to implement         the constriction factor, for instance, F=2, and, at the same         time, to provide for the laminarity of fluid flowing through the         converging nozzle, one has to apply equation (6.14) to provide         for the desired linear (or at least substantially gradual)         change of the fluid static pressure.

The water, which is located in each of elaborated airfoil shaped containers 5.51 and 5.61 above level 5.74, performs a gravity compressor (with respect to nozzles 5.52 and 5.62, correspondingly) operating in the gravitational field having force-lines in the vertical direction.

The gauge nozzle 5.52 and the primary nozzle 5.62, both provide for an outflowing water jetstream, moving through the ambient air in the gravitational field and associated with trajectory: gauge 5.55 and primary 5.65, correspondingly.

Ignoring the dragging effects acting by ambient air on a water jetstream as well as ignoring the mentioned additionally acquired acceleration due to the accompanying Venturi effect, the trajectory of water jetstream: either gauge 5.52 or primary 5.62, is described by parabola expressed with respect to butt-end point: either 5.56 or 5.66, correspondingly, as:

$\begin{matrix} {{y = {{t\; {(\theta)} \times x} - {\frac{}{2u^{2}\cos^{2}\theta}x^{2}}}},} & {{Eq}.\mspace{14mu} \left( {5.11a} \right)} \end{matrix}$

where x and y are coordinates in the horizontal and vertical directions, correspondingly, θ is angle (either 5.57 or 5.67) between the vector velocity of jetstream associated with trajectory (either 5.55 or 5.65, correspondingly) at butt-end point (either 5.56 or 5.66, correspondingly) and a horizontal axis, g is gravitational acceleration, and u is the absolute velocity: either u₁ or u₂, of headway motion of the outflowing jetstream associated with trajectory: either 5.55 or 5.65, correspondingly, at butt-end point: either 5.56 or 5.66, correspondingly.

The absolute velocity u is determined by the height h₀ 5.75 and expressed by:

u=(1−ψ)√{square root over (Ψ2gh ₀)}  Eq. (5.11b),

according to Torricelli's law, where the factors Ψ and ψ are introduced, wherein:

-   -   the introduced factor of effective acceleration increase Ψ         characterizes the mentioned interrelated effects: the         accompanying Venturi effect and a change in internal heat of the         unbrokenly and laminarly moving water with respect to the heat         of a water portion in container (5.51 or 5.61) near the surface         5.72, wherein the effective acceleration increase Ψ is averaged         over the height h₀ when the water motion is steady-state. The         deformation of the moving water portions shape results in a         change in the water portions thermodynamic state. In particular,         when the shape of a water portion becomes conic, the absolute         velocity u has two orthogonal components: of a headway motion         u_(H) and of a cross-sectional collapsing u_(C), wherein the         condition u=√{square root over (u_(H) ²+u_(C) ²)} is satisfied.         The headway motion component u_(H) characterizes the water flow         Φ=ρu_(H), where ρ is the density of substantially incompressible         water, while the cross-sectional collapsing component u_(C)         characterizes a water portion acquired acceleration, wherein the         acquired acceleration occurs at the expense of either potential         energy stored in the gravitational field and/or internal heat         energy stored in the Brownian motion of fluid molecules. The         cross-sectional collapsing component u_(C) of freely falling         water, defined as u_(C)=0.5×dD/dt, where D is the effective         linear size of cross-section (for instance, the diameter of a         circle cross-section), is approximately estimated by:

$\begin{matrix} {{u_{c} \approx \frac{\sqrt{{Au}_{H}}}{4\sqrt{\pi}\sqrt[4]{u_{H}^{2} + {2\; h}}} \approx \frac{\sqrt{{Au}_{H}}}{4\sqrt{\pi}\sqrt[4]{2\; {h\left( {\Psi + 1} \right)}}}},} & {{Eq}.\mspace{14mu} \left( {5.11c} \right)} \end{matrix}$

where A is the cross-sectional area at the height level h. The condition Ψ=1 is applicable, for instance, to a falling small drop or to water in a container having a uniform cross-section, where, hypothetically, the water descends laminarly and forcibly without the cross-sectional collapsing and so without acceleration. The condition u_(C)>0 inevitably interrelates with the condition Ψ>1. The value of the effective acceleration increase factor Ψ is quantified hereinbelow in equations (5.11i) and (5.11k); and

-   -   the introduced factor of velocity reduction ψ (0≤ψ≤1)         characterizes loss of the water stream headway motion kinetic         energy due to the dragging effects and turbulence within         container (5.51 or 5.61) and nozzle (5.52 or 5.62). A         not-optimized shape of the container and nozzle results in the         turbulence, which, in turn, results in dividing the kinetic         energy of the water stream between the kinetic energy of headway         motion and the kinetic energy of turbulent motion. The         skin-friction between the moving water and nozzle, on the one         hand, results in a decrease of the kinetic energy of water         stream within the container and nozzle, and on the other hand,         contributes to the turbulence. When the accelerated motion of         water within the container is turbulent and the nozzle is         resistive for the water motion, the factor of velocity reduction         ψ becomes significant. Hypothetically ignoring the dragging         effects and the turbulence within the container and nozzle, the         factor of velocity reduction ψ equals zero.

The mentioned elaborated airfoil shape of the container (5.51 or 5.61) and the inner surface of walls being hydrophobic, altogether provide that the condition ψ=0 is satisfied between levels 5.71 and 5.74.

To define the effective acceleration increase factor Ψ, two fundamental laws: the equation of continuity and the Bernoulli theorem (the energy conservation law), are applied to the unbrokenly falling water. Namely, the velocity values u_(0H) and u_(1H), where u_(0H) and u_(1H) are the components of water headway (in the case, dominantly vertical) motion velocities at cross-sections 5.72 and 5.73, correspondingly, are interrelated by the equation of continuity, namely:

A ₁ u _(1H) =A ₀ u _(0H)  Eq. (5.11d).

The absolute velocities u₀ and u₁, both comprising also corresponding cross-sectional collapsing components, are interrelated by the Bernoulli theorem, for instance, written in the form of equation (5.10b), namely,

$\begin{matrix} {{{\frac{u_{0}^{2}}{2} + {\; h_{0}}} = {\frac{u_{1}^{2}}{2} + {R\; \Delta \; T}}},} & {{Eq}.\mspace{14mu} \left( {5.11e} \right)} \end{matrix}$

where R is specific fluid constant, and ΔT is the change in the absolute temperature of moving water that is determined by the cross-sectional collapsing component of the moving water velocity. Therefore,

$\quad\left\{ \begin{matrix} {\frac{u_{0C}^{2}}{2} = {\frac{u_{1C}^{2}}{2} + {R\; \Delta \; T}}} & {\mspace{365mu} {{Eq}.\mspace{14mu} \left( {5.11f} \right)}} \\ {{\frac{u_{0H}^{2}}{2} + {\; h_{0}}} = \frac{u_{1H}^{2}}{2}} & {\mspace{365mu} {{Eq}.\mspace{14mu} \left( {5.11g} \right)}} \end{matrix} \right.$

Combining equations (5.11d) and (5.11g), one obtains:

$\begin{matrix} {u_{1H}^{2} = {2\; h_{0}{\frac{A_{0}^{2}}{A_{0}^{2} - A_{1}^{2}}.}}} & {{Eq}.\mspace{14mu} \left( {5.11h} \right)} \end{matrix}$

Comparing (5.11h) and Torricelli's law, written in the form of equation (5.11b), the effective acceleration increase factor Ψ on the height h₀ is expressed by:

$\begin{matrix} {\Psi = {\left( \frac{A_{0}^{2}}{A_{0}^{2} - A_{1}^{2}} \right).}} & {{Eq}.\mspace{14mu} \left( {5.11i} \right)} \end{matrix}$

The equation (5.11i) makes it evident that the effective acceleration increase factor Ψ is greater than 1 for the case. The area A₁ of the cross-section 5.73, specified for freely falling water, related to the height h₀ and velocity u_(0H) at cross-section 5.72, is expressed by:

$\begin{matrix} {A_{1} = {\frac{A_{0}\mspace{14mu} u_{0H}}{\sqrt{u_{0H}^{2} + {2\Psi \; \; h_{0}}}}.}} & {{Eq}.\mspace{14mu} \left( {5.11j} \right)} \end{matrix}$

Using again the equation of continuity Eq. (5.11d) and the Bernoulli theorem Eq. (5.11g), and taking into account equation (511j) for the area A₁ in equation (5.11i), the effective acceleration increase factor Ψ is expressed via u_(0H) and h₀, namely,

$\begin{matrix} {\Psi = {\frac{1}{2} + {\sqrt{\frac{1}{4} + \frac{u_{0H}^{2}}{2\; h_{0}}}.}}} & {{Eq}.\mspace{14mu} \left( {5.11k} \right)} \end{matrix}$

Thereby, the effective acceleration increase factor Ψ is estimated as:

$\Psi = \left\{ \begin{matrix} {{\Psi > 1},} & {{{{if}\mspace{14mu} \; h_{0}} > 0},} & {i.e.\mspace{14mu} {falling}} \\ {{\Psi = 1},} & {{{{if}\mspace{14mu} \; h_{0}} = 0},} & {{i.e.\mspace{14mu} u_{0H}} = 0} \\ {{0 < \Psi < 1},} & {{{{if}\mspace{14mu} \; h_{0}} < 0},} & {i.e.\mspace{14mu} {upping}} \end{matrix} \right.$

The inventor points out that, based on two fundamental laws: the equation of continuity an the energy conservation (the Bernoulli theorem), both applied to the unbrokenly falling water, the summary that the water stream free falling with an acceleration higher than the gravitational acceleration g is one of the primary teachings of the present invention.

The absolute velocity of water moving through cross-section 5.73 is estimated as:

$\begin{matrix} {\mspace{76mu} {{{{{u_{1} = \sqrt{u_{1H}^{2} + u_{1C}^{2}}},\mspace{76mu} {where}}u_{1H}^{2}} = {{2\Psi \; \; h_{0}\mspace{14mu} {and}\mspace{14mu} u_{1C}^{2}} \approx {\frac{1}{16\pi}\frac{g^{2}\mspace{14mu} A_{0}u_{0H}}{\sqrt{2\; {h_{0}\left( {\Psi + 1} \right)}}}} \approx {\frac{1}{16\pi}\frac{g^{2}\mspace{14mu} A_{0}u_{0H}}{\sqrt{u_{H}^{2} + {2\; h}}}}}},}} & {{Eq}.\mspace{14mu} \left( {5.11l} \right)} \end{matrix}$

The shape of nozzle 5.52 has the varying cross-sectional area adapted to freely descending and freely ascending water such that thermodynamic states of water in positions 5.73 and 5.53 are identical. Thereby, the velocity of water portion at position 5.56 is equal to u₁ specified by equation (5.11l). The maximal height h₁ 5.58 of the water jetstream associated with trajectory 5.55 is equal to h₁=(u_(1H) sin θ)²/(2Ψg), wherein when θ=60°, Ψ≈1, and ψ=0, then h₁=0.75h₀. The condition h₁<h₀ is satisfied.

In contrast to nozzle 5.52, nozzle 5.62 is asymmetrical, having the area A₁ of cross-section 5.73 bigger than the area A₂ of primary-ending cross-section 5.63 by the factor F of constriction, i.e. A₁=F×A₂.

Nozzle 5.62 provides for the Venture effect (having the jet-effect nature) and so providing for a convective acceleration of the portion moving through the nozzle such that velocity u₂ at point 5.66 becomes higher than the velocity u₁ at position 5.73 by the factor F, i.e. u₂=F×u₁ in accordance with the equation of continuity, wherein the velocity increase occurs at the expense of the water warmth.

The mentioned condition that the volume of container 5.61 is much bigger than the volume of nozzle 5.62, justifies the assumption that the velocity u₁ of water motion at the position 5.73 of both containers 5.51 and 5.61 is the same.

The inventor points out that, in accordance with the Bernoulli theorem applied to the water streaming through nozzle 5.62, the values u₁ and u₂ are interrelated as:

$\frac{u_{1}^{2}}{2} = {\frac{u_{2}^{2}}{2} + {R\; \Delta \; T}}$

where the negative value of the water absolute temperature change AT provides for the contribution to the kinetic energy of the outflowing water jet-stream.

The increased velocity u₂=F×u₁ corresponds to another parabolic trajectory of the water jetstream 5.62. If, hypothetically, ψ=0 and, for example, angle 5.66 equals θ₂=60° and the factor of constriction equals F=2, then the maximal height h₂ 5.68 of water jetstream 5.62 equals h₂=F²h₁=3h₀.

The inventor points out that the condition h₂>h₀ becomes reachable when the Venturi effect is triggered keeping the water motion laminar.

It will be evident to a person skilled in the art that a use of the height h₂ 5.68 of a waterfall for producing the electrical power using a hydro-turbine [not shown here] is more efficient than a use of the origin height h₀ 5.75. Furthermore, the height difference (h₂−h₀) 5.76 allows for the electricity harvesting and wherein reverting a falling water portion back into container 5.61 [not shown here] and thereby avoiding a consumption of the water from container 5.61. For such a permanent use of the water portion, the water must permanently be consuming caloric, for instance, from ambient warmth. The inventor points out that this is not a so-called “Perpetuum mobile”, but a use of water heat and the heat of ambient air to produce useful power, strongly according to the Energy Conservation Law.

The inventor points out that the described technique allowing for the transformation of water warmth into useful energy is composed of two obvious transformations:

-   -   a gravitational acceleration of water stream in the Earth         gravitational field; and     -   a convective acceleration of water jetstream using an elaborated         airfoil nozzle;         wherein the combination of the two obvious transformations         provides for a new quality of motionless gravity-jet engine         5.60. Namely, this allows for the harvesting of useful power         from the heat of water. The combination of a gravity compressor         and an elaborated airfoil converging (or convergent-divergent)         nozzle is one of the primary teachings of the present invention.

In view of the foregoing description referring to FIG. 5m , it will be evident for a person studied the present invention that:

-   -   motionless gravity-jet engine 5.60 launching water jetstream         5.65, as a waterfall, is applicable to a hydro-turbine; wherein,         the motionless gravity-jet engine, when operating in a mode         reverting water portions back into container 5.62 and if the         falling water is further powers the hydro-turbine (which, in the         final analysis, producing electrical power at the expense of the         water warmth), at the same time, allows for cooling the water         almost reaching the freezing point;     -   motionless gravity-jet engine 5.60 can be cascaded multi-stage         repeatedly (implementing a hydro-gateway) to increase the         cumulative height of waterfall; and, looking ahead,     -   the equation (6.14), mentioned hereinabove and described         hereinbelow in subparagraph “Convergent-Divergent Jet-Nozzle”         with reference to FIG. 6a , in particular, assuming Venturi         M-velocities (where the term “Venturi M-velocity” will be         introduced), is applicable to design an elaborated shape of         airfoil container 5.61, to provide an additionally acquired         acceleration and laminarity of water motion.

Convergent-Divergent Jet-Nozzle

FIG. 6a is a schematic illustration of a convergent-divergent jet-nozzle 610, pipe-section in a sagittal plane. Convergent-divergent jet-nozzle 610 is applied to accelerate a compressed and hot air stream, or more generally, a laminarly flowing compressed and hot compressible-expandable fluid 611. Convergent-divergent jet-nozzle 610 has the inner tunnel opposite walls shaped, for simplicity, axis-symmetrically around an imaginary sagittal x-axis 615, as a convergent funnel 612 having open inlet, narrow throat 613 comprising point 618 of the narrowest cross-section, and divergent exhaust tailpipe 614 having open outlet, constructed according to an exemplary embodiment of the present invention providing the improved de Laval jet-effect. For simplicity, compressed and hot fluid stream 611 has a uniform front at the inlet.

For the purposes of the present patent application, the de Laval effect should be understood in a wide sense as comprising both: the de Laval jet-effect, defined as an effect of flow extra-acceleration, and the de Laval retarding-effect, defined as an effect of flow extra-slowing. Thus, the de Laval jet-effect is a particular case of the de Laval effect.

The specifically shaped tunnel, comprising the three major successive constituents: convergent funnel 612 having an open inlet, narrow throat 613, and divergent exhaust tailpipe 614 having an open outlet, has no real separation features between the constituents. For the purpose of the present patent application, narrow throat 613 is specified as a fragment of the inner tunnel located between imaginary inlet 6131 and outlet 6132. For the purposes of the present patent application, the term “principal interval” of the x-axis is introduced as corresponding to the interval occupied by the specifically shaped tunnel, i.e. at least comprising narrow throat 613.

Fluid stream 611 is subjected to the Coanda-effect, observed as aligning of fluid stream 611 with the curvature of specifically shaped walls of the inner tunnel. The Coanda-effect is defined by a non-zero partial pressure-“c” P_(c) arising when the shape of a fluid portion is varying as the fluid portion moves along the shaped inner tunnel of convergent-divergent jet-nozzle 610. Looking ahead, point out that the specific shape of tunnel, constructed according to the principles of the present invention, prevents disturbances of the fluid motion. This stipulation corresponds to the case when the cumulative-inner-static-pressure P of streaming fluid 611 is varying gradually and the velocity of streaming fluid 611 is varying linearly as the fluid 611 moves within the shaped tunnel along imaginary sagittal x-axis 615.

For simplicity, imaginary sagittal x-axis 615 is horizontal, i.e. moving fluid 611 does not change its effective height above the Earth's ocean surface level. Thus, equations (5.6) and (5.7) for a stationary laminar flow can be written as (6.1) and (6.2) correspondingly:

udu+dQ=0  Eq. (6.1),

uρA=C=Const  Eq. (6.2),

where C is a constant associated with the considered fluid portion, and values A, u, and ρ are associated with the flow cross-section: A is the flow cross-section area, u is the flow velocity, and ρ is the fluid density. Introduce value of volume of unit mass v, defined as v=1/ρ.

The fluid characteristic heat portion per unit mass is defined as Q=P/ρ=Pv, so dQ=vdP+Pdv, where P=P_(in)=P_(s)+P_(drag)+P_(viscous). Therefore, equation (6.1) can be represented as

udu+vdP+pdv=0  Eq. (6.3a).

Dividing (6.3a) by Pv, one obtains:

$\begin{matrix} {{{\frac{udu}{Pv} + \frac{dP}{P} + \frac{dv}{v}} = 0},} & {{Eq}.\mspace{14mu} \left( {6.3b} \right)} \end{matrix}$

and so,

$\begin{matrix} {\frac{dv}{v} = {{- \frac{udu}{Pv}} - {\frac{dP}{P}.}}} & {{Eq}.\mspace{14mu} (6.3)} \end{matrix}$

Rewrite equation (6.2) as:

uA=Cv  Eq. (6.4a).

and further in differential form as:

Adu+udA=Cdv  Eq. (6.4b).

Divide the left and right sides of (6.4b) by the left and right sides of (6.4a) correspondingly:

$\begin{matrix} {{\frac{du}{u} + \frac{dA}{A}} = {\frac{dv}{v}.}} & {{Eq}.\mspace{14mu} (6.4)} \end{matrix}$

Referring to equation (5.8a) for a real molecular fluid undergoing a reversible adiabatic process, one can write: Pv^(γ)=Const, or in differential form:

v ^(γ) dP+γPv ^(γ-1) dv=0  Eq. (6.5a).

Dividing (6.5a) by γPv^(γ), one obtains:

$\begin{matrix} {\frac{dv}{v} = {+ {\frac{dP}{\gamma \; P}.}}} & {{Eq}.\mspace{14mu} (6.5)} \end{matrix}$

Comparing (6.5) and (6.3), one can write:

$\begin{matrix} {{{{- \frac{udu}{Pv}} - \frac{dP}{P}} = {- \frac{dP}{\gamma \; P}}},{i.e.}} & {{Eq}.\mspace{14mu} \left( {6.6a} \right)} \\ {{{- \frac{udu}{Pv}}\frac{\gamma \; u}{\gamma \; u}} = {{- \frac{dP}{\gamma \; P}} + {\frac{\gamma}{\gamma}{\frac{dP}{P}.}}}} & {{Eq}.\mspace{14mu} \left( {6.6b} \right)} \end{matrix}$

The denominator of the left side of (6.6b) comprises value (γPv) that defines velocity of sound via equation u_(sound)=√{square root over (γPv)}, so (6.6b) can be rewritten as:

$\begin{matrix} {{{- \frac{\gamma \; u^{2}}{u_{sound}^{2}}}\frac{du}{u}} = {\frac{\gamma - 1}{\gamma}{\frac{dP}{P}.}}} & {{Eq}.\mspace{14mu} \left( {6.6c} \right)} \end{matrix}$

Introducing the value M=u/u_(sound) having the meaning of the fluid portion velocity measured in Mach numbers, i.e. M-velocity, (6.6c) can be written as:

$\begin{matrix} {{{- \gamma}\; M^{2}\frac{du}{u}} = {\frac{\left( {\gamma - 1} \right)}{\gamma}{\frac{dP}{P}.}}} & {{Eq}.\mspace{14mu} (6.6)} \end{matrix}$

Now comparing (6.5) and (6.4), one gets:

$\begin{matrix} {\frac{dP}{\gamma \; P} = {{- \frac{dA}{A}} - {\frac{du}{u}.}}} & {{Eq}.\mspace{14mu} (6.7)} \end{matrix}$

Substituting the expression for dP/γP from (6.7) into (6.6), one obtains:

${{- \gamma}\; M^{2}\frac{du}{u}} = {\left( {\gamma - 1} \right)\left( {{- \frac{dA}{A}} - \frac{du}{u}} \right)}$

and after simple algebraic transformations one formulates:

$\begin{matrix} {\frac{dA}{A} = {\left( {{\frac{\gamma}{\gamma - 1}M^{2}} - 1} \right){\frac{du}{u}.}}} & {{Eq}.\mspace{14mu} (6.8)} \end{matrix}$

Equation (6.8) comprises the term M²γ/(γ−1) characterizing the effect of the gas compressibility and expandability. Equation (6.8) differs from classical equation (1b) derived from the Euler equations applied to an ideal fluid defined in frames of the continuum mechanics. In particular, equation (6.8) says that: if the horizontally moving flow is relatively slow (i.e. M<√{square root over ((γ−1)/γ))}, then the narrowing of the flow cross-section (i.e. negative dA) corresponds to acceleration of the flow (i.e. positive du); and if the flow is relatively fast (i.e. M>√{square root over ((γ−1)/γ))}, then just the widening of the flow cross-section (i.e. positive dA) corresponds to acceleration of the flow (i.e. positive du). This means, in particular, that at so-called “critical condition” point 680 defined for the narrowest throat of the de Laval nozzle, the flow specific M-velocity equals

M*=√{square root over ((γ−1)/γ)}  Eq. (6.9).

For the purposes of the present patent application, here and further, the lower index “*” is applied to an M-velocity, geometrical and thermodynamic parameters in a critical condition point.

For air as a diatomic molecular gas, the generalized adiabatic compressibility parameter γ equals γ=7/5=1.4, and M*=√{square root over ((γ−1)/γ)}≈0.5345 Mach, but not 1 Mach as follows from classical equation (1b). For a gas composed of multi-atomic molecules, the generalized adiabatic compressibility parameter γ is closer to 1, and so the de Laval jet-effect is expected at lower M-velocities. In a particular case of an almost incompressible liquid, the generalized adiabatic compressibility parameter γ is extremely great and equation (6.8) comes close to classical equation (1b), for which M*=1 Mach.

In many actual and imaginary applications the phenomenon of shock sound-wave emission, that arises at M-velocities near 1 Mach, is undesirable or unacceptable. Therefore, the conclusion of resulting equation (6.8), that the de Laval jet-effect begins from the velocity being substantially lower than the speed of sound, becomes important to provide for a utilization of this useful effect avoiding the phenomenon of shock sound-wave emission.

Now consider the case where a compressed and/or heated gas, defined by the stagnation parameters: pressure P₀, density ρ₀, and temperature T₀, is launching into a convergent-divergent jet-nozzle. Let the stagnation pressure P₀, temperature T₀, and density ρ₀ be much high to provide the specific M-velocity M*=√{square root over ((γ−1)/γ)} at the narrowest cross-section of the throat. The gas characteristic heat portion per unit mass, expressed in terms of the gas temperature, is: Q=RT. Substitution of this expression into (6.1) gives:

$\begin{matrix} {T_{0} = {{T + \frac{u^{2}}{2R}} = {T\left( {1 + {M^{2}\frac{\gamma}{2}}} \right)}}} & {{Eq}.\mspace{14mu} (6.10)} \end{matrix}$

where T₀ is the stagnation temperature; T is the gas portion current temperature; u_(sound)=√{square root over (γPv)}=√{square root over (γRT)}, and M=u/u_(sound)=u/√{square root over (γRT)}. Though the normalized value M depends on temperature, one retains the form of equation (6.10) expressed via M, because the value of M=1 Mach has the physical sense of the shock sound-wave emission condition. Taking into account relations between thermodynamic parameters in an adiabatic process, equation (6.10) can be rewritten as:

$\begin{matrix} {\frac{T_{0}}{T} = {\left( \frac{P_{0}}{P} \right)^{\frac{\gamma - 1}{\gamma}} = {\left( \frac{\rho_{0}}{\rho} \right)^{\gamma - 1} = {1 + {M^{2}\frac{\gamma}{2}}}}}} & {{Eq}.\mspace{14mu} (6.11)} \end{matrix}$

where P and ρ are the current static pressure and density correspondingly.

It is important to introduce the ratio A/A*, where A* is the narrowest cross-sectional area of the nozzle throat, i.e. is the critical condition area corresponding to the critical condition point, and A is the current cross-sectional area. It follows from (6.2) that

$\begin{matrix} {\frac{A}{A_{*}} = {\frac{\rho_{*}}{\rho}\frac{u_{*}}{u}}} & {{Eq}.\mspace{14mu} (6.12)} \end{matrix}$

Taking into account (6.11) and that the specific M-velocity equals M*=√{square root over ((γ−1)/γ)}, the ratio A/A* can be expressed via M-velocity:

$\begin{matrix} {\frac{A}{A_{*}} = {\frac{1}{M}\left( \frac{\gamma - 1}{\gamma} \right)^{\frac{1}{2}}\left( \frac{2 + {\gamma \; M^{2}}}{\gamma + 1} \right)^{\frac{\gamma + 1}{2{({\gamma - 1})}}}}} & {{Eq}.\mspace{14mu} (6.13)} \end{matrix}$

Equation (6.13) is the equation of principle, bonding the generalized adiabatic compressibility parameter γ, M-velocity M, and ratio A/A* of the molecular fluid, fast and laminarly flowing through the de Laval nozzle, oriented horizontally. Equation (6.13) differs from classical equation (1) derived basing on the Euler equations applied to an ideal fluid defined in frames of the continuum mechanics. Equation (6.13), as one of the primary teachings of the present invention, says that to accelerate a warmed and compressed air portion up to 1 Mach, one must apply a convergent-divergent jet-nozzle and provide the nozzle inner tunnel divergent part expansion up to the ratio of A/A*≈1.5197. Considering an essential M-velocity range, specified as an M-velocity range comprising M-velocities corresponding to the flow passing through the principal interval, equation (6.13) can be applied to make an ideal shape of the nozzle to provide for a laminar motion and thereby optimize the acceleration of the streaming fluid at least in the essential M-velocity range, i.e. at least within the specifically shaped tunnel. In contrast to the prior art concept of rapid expansion and acceleration of the gas, described hereinbefore with reference to FIGS. 1c and 1d , that causes the arising of undesired Mach waves, the substantially gradual (or linear) increase of the M-velocity downstream along the gas motion accompanied by the interrelated gradual (or linear) change of fluid thermodynamic parameters, is a criterion of the nozzle inner tunnel shape optimization preventing turbulences and, in particular, providing suppression of the undesired Mach waves, according to an exemplary embodiment of the present invention.

Further, for the purposes of the present patent application, a use of the equation of principle (6.13) assumes an inherent condition of a gradual change of the fluid thermodynamic parameters. So, axis-symmetrical convergent-divergent jet-nozzle 610, comprising specifically shaped convergent funnel 612 having an open inlet, narrow throat 613, and divergent exhaust tailpipe 614 having an open outlet, is designed according to equation (6.13), where the value M corresponds to x-coordinates along imaginary x-axis 615 as a smooth function M(x). In particular, a linear function M(x) was chosen as a desired for M(x), i.e.

M(x)=M(x)=M*+α_(M)(x−x*), where x is the x-coordinate at x-axis 615, and α_(M) is a positive constant defining a scale factor and having a sense of constant gradient of M-velocity spatial distribution, i.e. α_(M)=∂M(x)/∂x. Such a relationship enables a substantially smoothed increase of M-velocity as the fluid moves through the specifically shaped tunnel of convergent-divergent jet-nozzle 610. The linear increase of M-velocity prevents substantially the arising of streaming fluid 611 motion disturbances, accompanied by shock waves.

In contrast to a jump-like sharp slope, the gradual change of the M-velocity and so of all the interrelated thermodynamic parameters is one of the primary features of the de Laval jet-effect improvement.

For the purposes of the present patent application, the term “de Laval enhanced jet-effect” or briefly: “enhanced jet-effect” is introduced as relating to the modified de Laval jet-effect, occurring in a convergent-divergent tunnel having a specifically revised shape according to the principles of the present invention, such that the modified de Laval jet-effect becomes improved by smoothing of the fluid thermodynamic parameters spatial distribution, providing the following beneficial features:

-   -   smoothing of the flowing fluid M-velocity, providing suppression         of the undesired flow disturbances accompanied by shock waves;     -   smoothing of the flowing fluid static pressure, providing         suppression of the undesired Mach waves and, thereby,         suppression of nearby body vibrations;     -   smoothing of the flowing fluid temperature, providing         suppression of adjacent surface tensions; and     -   smoothing of the flowing fluid density, providing suppression of         shock waves.         Also, the term “de Laval-like jet-effect” should be understood         in a wider, sense including a case when an enhanced jet-effect         occurs in an open space imaginarily bordered by the flow         streamlines, wherein the imaginary borders constitute a         convergent-divergent shape, i.e. similar to a de Laval nozzle.

If the exhaust tailpipe 614's outlet area is A_(e), the ratio A_(e)/A* defines the nozzle expansion ratio that can be optimized in accordance with the estimations described hereinbelow with reference to FIGS. 7a, 7b , 7 c.

Thereby, a convergent-divergent jet-nozzle, constructed applying equation (6.13) according to an exemplary embodiment of the present invention, allows a use of the de Laval enhanced jet-effect to accelerate incoming compressed and hot airstream 611 moving with low M-velocities to obtain outflowing accelerated and cooled jetstream 616, reaching high M-velocities [i.e. M-velocities, higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}], in particular, high-subsonic velocities.

FIG. 6b , in conjunction with FIG. 6a , is a schematic graphic illustration of the distribution of the flowing fluid 611's three parameters: velocity 620, static pressure 630, and temperature 640 along the length of nozzle 610, constructed according to the principles of a preferred embodiment of the present invention. The narrowest cross-section of the throat 613 (FIG. 6a ) provides the “critical condition” point 618. Compressed and hot fluid 611 flows through throat 613, where the velocity picks up 621 such that M-velocity reaches the specific M-velocity M*=√{square root over ((γ−1)/γ)} 623 at the critical condition point 618. Ahead of the critical condition point 618, the pressure and temperature fall, correspondingly 631 and 641. Hot flowing fluid 611 crosses the critical condition point 618 and enters the widening stage of throat 613 and further divergent exhaust tailpipe 614 having an open outlet. Flowing fluid 611 expands there, and this expansion is optimized such that the extra-increase of M-velocity 622 is substantially smoothed; and the pressure and temperature extra-decrease, 632 and 642, correspondingly, are substantially smoothed as well, in contrast to that at the critical condition point 180 with reference to the classic prior art rocket nozzle 100 of FIGS. 1c, 1d . The smoothed change of static pressure 630 provides a suppression of unwanted Mach waves. In practice, the suppression of Mach waves provides a suppression of undesired vibrations that, in particular, especially important for fast accelerating vehicles.

In view of the foregoing description referring to FIG. 6a , it will be evident to a person skilled in the art that one can use different criteria of a gradualness of M(x) for different preferred optimizations of the convergent-divergent shape of a tunnel. Namely, the conditions, providing laminarity of the airstream motion, are:

-   -   if suppression of Mach waves and of body vibrations are the most         preferable, then M(x) should be given as the function

${{M(x)} = \sqrt{2\left\{ {\left\lbrack {P_{0}\text{/}{\overset{\_}{P}(x)}} \right\rbrack^{{({\gamma - 1})}\text{/}\gamma} - 1} \right\} \text{/}\gamma}},$

-   -    where P(x) is a linear function of the static pressure vs.         x-coordinate: P(x)=P*+α_(P)(x−x*), P* is the static pressure of         the flowing fluid at the critical condition point x*, and         α_(P)=∂P(x)/∂x is a constant gradient of the static pressure         distributed along the x-axis within a specially shaped tunnel;         and FIG. 6c is a schematic illustration of an exemplary profile         of an optimized specifically shaped tunnel providing a linear         change of the flowing fluid static pressure corresponding to the         essential M-velocity range comprising M-velocities from 0.02 up         to 2 Mach;     -   if the suppression of temperature jumps is the most preferable,         then M(x) should be given as the function

${{M(x)} = \sqrt{2\left\{ {\left\lbrack {T_{0}\text{/}{\overset{\_}{T}(x)}} \right\rbrack - 1} \right\} \text{/}\gamma}},$

-   -    where T(x) is a linear function of the fluid temperature vs.         x-coordinate: T(x)=T*+α_(t)(x−x*), T* is the temperature of the         flowing fluid at the critical condition point x*, and         α_(T)=∂T(x)/∂x is a constant gradient of the fluid temperature         distributed along the x-axis within a specially shaped tunnel;         and FIG. 6d is a schematic illustration of an exemplary profile         of an optimized specifically shaped tunnel providing a linear         change of the flowing fluid temperature corresponding to the         essential M-velocity range comprising M-velocities from 0.02 up         to 2 Mach; and     -   if a trade-off between suppressions of Mach waves and         temperature jumps is preferable, then M(x) should be given as         the function

${{M(x)} = \sqrt{2\left\{ {\left\lbrack {\rho_{0}\text{/}{\overset{\_}{\rho}(x)}} \right\rbrack^{({\gamma - 1})} - 1} \right\} \text{/}\gamma}},$

-   -    where ρ(x) is a linear function of the fluid density vs.         x-coordinate: ρ(x)=ρ*+α_(P)(x−x*), ρ* is the density of said         flowing fluid at the critical condition point x*, and         α_(ρ)=∂ρ(x)/∂x is a constant gradient of the fluid density         distributed along the x-axis within a specially shaped tunnel;         and FIG. 6e is a schematic illustration of an exemplary profile         of an optimized specifically shaped tunnel providing a linear         change of the flowing fluid density corresponding to the         essential M-velocity range comprising M-velocities from 0.02 up         to 2 Mach.

Further, for the purposes of the present invention, the term “airfoil” or “actually-airfoil” should be understood as related to a wall shape and as specifying a convergent-divergent shape of a flow portion's streamlines aligned to the airfoil wall, wherein, in contrast to a seemingly-airfoil shape, the convergent-divergent shape calls for the differential equation of motion (6.8), equation of principle (6.13), and at least one of the aforementioned conditions for the function M(x), thereby providing laminarity of the flow portion motion.

Furthermore, it will be evident to a person skilled in the art that one can optimize the specifically shaped tunnel of convergent-divergent jet-nozzle 610 providing such a conformity of the cross-sectional area of the open inlet with the M-velocity of flowing fluid crossing the open inlet, that the flowing fluid M-velocity is substantially smooth at the entering the open inlet. Moreover, one can control the cross-sectional area of the open inlet, according to the equation of principle, providing conformity of the open inlet cross-sectional area with the variable M-velocity of the entering flowing fluid afore-and-nearby the open inlet. This may become important, for example, to suppress vibrations of a fast accelerating vehicle.

Moreover, it will be evident to a person skilled in the art that, as soon as the de Laval effect occurs in an adiabatic process, the condition of fluid stream 611 motion through the narrowest cross-section of throat 613 at critical condition point 618 with the specific M-velocity M*=√{square root over ((γ−1)/γ)} 623, accompanied by thermodynamic parameters: static pressure P*, temperature T*, and fluid density ρ*, interrelates with a condition of fluid stream 611 motion with an M-velocity and accompanied thermodynamic parameters static pressure P, temperature T, and fluid density ρ at any cross-section of convergent-divergent jet-nozzle 610's inner tunnel, wherein the conditions interrelation depends on the tunnel geometry only. In other words, if a hypothetic propeller pushing a hypothetic inviscid fluid provides the inviscid fluid laminar flow with the specific M-velocity M*=√{square root over ((γ−1)/γ)} at the critical condition point of a de Laval nozzle, then the de Laval effect becomes triggered in the de Laval nozzle, wherein the thermodynamic parameters of the moving inviscid fluid portions are interrelated as in an adiabatic process. In this case, the hypothetic propeller triggering the de Laval effect expends power for the launching of accompanying shock and/or Mach waves only.

In view of the foregoing description referring to FIG. 6a , it will be evident to a person skilled in the art that:

-   -   in a more general case, when imaginary sagittal axis 615 is         oriented at least partially in the vertical direction in the         Earth's gravitational field, the equation of principle should be         corrected becoming different from equation (6.13) by a component         depending on the gravitational acceleration g, namely:

$\begin{matrix} {{\frac{A}{A_{*}} = {\frac{M_{*}}{M}\left( \frac{1 + {\frac{\gamma}{2}M^{2}} + \frac{{\Delta}\; h}{RT}}{1 + {\frac{\gamma}{2}M_{*}^{2}}} \right)^{\frac{\gamma + 1}{2{({\gamma - 1})}}}}},} & {{Eq}.\mspace{14mu} (6.14)} \end{matrix}$

-   -   where Δh is a change of the flow effective height with respect         to the critical condition point. It will be further evident to a         person skilled in the art that, when the considered temperatures         and M-velocities are sufficiently high to provide for the         conditions: gΔh/RT<<1 and gΔh/RT<<γM²/2 to be satisfied, a use         of the equation of principle in the form of equation (6.13)         becomes justified;     -   taking into account molecular interactions for flowing liquid or         plasma, for which changes of the partial deep-stagnation         pressure-“a” δP_(a) become at least noticeably distributed in         space, the generalized adiabatic compressibility parameter γ in         the equation of principle (6.13) is not a constant, but varies         with the changes of the partial deep-stagnation pressure-“a”         δP_(a), in a conformance with equations (5.8b) and (5.8c);     -   if the flowing molecular fluid is an ionized gas, i.e. plasma,         controlled by an external magnetic field, then the specifically         shaped walls of tunnel can be imaginary, formed by streamlines         of the flowing plasma subjected to and controlled by an action         of the magnetic field; and     -   according to the kinetic theory of matter, a substantial         incompressible molecular fluid, characterized by almost not         changeable thermodynamic parameters: density, temperature, and         inner-static-pressure and characterized by the infinitely great         generalized adiabatic compressibility parameter γ→∞, cannot         change its cross-sectional area substantially, and so, according         to equation of principle (6.13), cannot flow laminarly through a         horizontal tunnel having a varying cross-sectional area; and         furthermore, strictly speaking, a hypothetical         absolutely-incompressible molecular fluid cannot flow through a         converging tunnel at all. This is a theoretically important         teaching of the present invention.

De Laval Retarding-Effect

FIG. 6f is a schematic illustration of an inverse convergent-divergent jet-nozzle 650, pipe-section in a sagittal plane. Convergent-divergent jet-nozzle 650, constructed according to the principles of a preferred embodiment of the present invention, as inverse de Laval nozzle, applied to retard a fast fluid-flow 651, streaming with a high M-velocity M₆₅₁, higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}. Convergent-divergent jet-nozzle 650 has the sectional shape mirror-symmetrically congruent to the sectional shape of convergent-divergent jet-nozzle 610, shown in FIG. 6a , and oriented to oncoming fluid-flow 651 in the back direction. Namely, the shape is axis-symmetrical around an imaginary sagittal axis 655; convergent funnel 652 having open inlet is as inverse divergent exhaust tailpipe 614; narrow throat 653 comprises point 658 of the narrowest cross-section; and divergent exhaust tailpipe 654 is as inverse convergent funnel 612. Convergent funnel 652, narrow throat 653, and divergent exhaust tailpipe 654 have not real separation features between them. For the purpose of the present patent application narrow throat 653 is specified as a fragment of the inner tunnel having imaginary inlet 6531 and outlet 6532, wherein the term “principal interval” of x-axis has a sense as corresponding to the interval occupied by the specifically shaped tunnel, i.e. at least comprising narrow throat 653.

FIG. 6g , in conjunction with FIG. 6f , is a schematic graphic illustration of the distribution of the fluid 651's three parameters: velocity 660, static pressure 670, and temperature 680 along the length of nozzle 650 calculated according to equations (6.11) and (6.13).

The narrowest cross-section of the throat 653 (FIG. 6f ) provides the “critical condition” point 658, triggering the inverse de Laval jet-effect, according to equation (6.13), that is observed as an effect of flow slowing, when the flow moves along convergent funnel 652, and further slowing, when the flow moves through the divergent stage of convergent-divergent jet-nozzle 650 downstream-behind the critical condition point 658. For the purposes of the present patent application, the term “de Laval retarding-effect” is introduced as relating to the inverse de Laval jet-effect. Fast fluid-flow 651 moves along convergent funnel 652, where, ahead of the critical condition point 658 of narrow throat 653, the velocity falls 661, and the pressure and temperature pick up, correspondingly 671 and 681. The velocity falls 661 such that M-velocity M₆₆₃, corresponding to marker 663, reaches the specific M-velocity M*=√{square root over ((γ−1)/γ)} at the critical condition point 658. Fluid-flow 651 exits throat 653 and enters the widening divergent exhaust tailpipe 654, where fluid-flow 651 is subjected to increase of cross-sectional area, and this action is optimized such that the decrease of M-velocity 662 is accompanied by a substantially smoothed increase of the pressure and temperature, 672 and 682, correspondingly. Slow hot and compressed fluid at position 656 outflows from wide exhaust tailpipe 654. Again, the smoothed change of static pressure 670 provides a suppression of unwanted Mach waves. In practice, the suppression of Mach waves provides a suppression of undesired vibrations that, in particular, especially important for a fast decelerating flying vehicle.

In view of the foregoing description referring to FIGS. 6f and 6g , it will be evident to a person skilled in the art that, on the one hand, to trigger the de Laval retarding-effect the high M-velocity M₆₅₁ must be low sufficient to reach the specific M-velocity M* while slowing in convergent funnel 652 and the convergent stage of throat 653. On the other hand, taking into account that, in practice, for the case wherein fluid-flow 651 is an airflow, the M-velocity is distributed in the direction normal to an adjacent surface such that decreases almost down to zero at the surfaces of convergent-divergent jet-nozzle 650's walls. Thus, a certain portion of fast fluid-flow 651 at the critical condition point 658 moves with the effective M-velocity equal to the specific M-velocity M* and is subjected to a convergent-divergent reshaping in throat 653, thereby, the conditions for the de Laval retarding-effect triggering is satisfied for any high M-velocity M₆₅₁, higher than the specific M-velocity M*.

In view of the foregoing description referring to FIGS. 6a, 6b, 6f and 6g and derivation of equations (6.8) and (6.9), the de Laval jet-effect and the de Laval retarding-effect, both observed in the case of a converging flow, are specified as the following. The de Laval jet-effect is specified as an effect of a convergent flow portion convective acceleration, occurring, when the convergent flow portion moves with M-velocities lower than the specific M-velocity upstream-afore the critical condition point, reaches the specific M-velocity at the critical condition point, and moves with M-velocities higher than the specific M-velocity downstream-behind the critical condition point; and the de Laval retarding-effect is specified as an effect of a convergent flow portion warming and slowing, occurring, when the convergent flow portion moves with M-velocities higher than the specific M-velocity upstream-afore the critical condition point, reaches the specific M-velocity at the critical condition point, and moves with M-velocities lower than the specific M-velocity downstream-behind the critical condition point.

For the purposes of the present patent application, the terms “Venturi M-velocity”, “de Laval M-velocity”, “de Laval low M-velocity”, and “de Laval high M-velocity” should be understood as the following:

-   -   a Venturi M-velocity is defined as an M-velocity, lower than the         specific M-velocity M* and low sufficient to cross a narrow         throat with said M-velocity, lower than the specific M-velocity         M*;     -   a de Laval low M-velocity is defined as an M-velocity lower than         the specific M-velocity M* and high sufficient to reach the         specific M-velocity M* at the critical condition point x*;     -   a de Laval high M-velocity is defined as an M-velocity higher         than the specific M-velocity M* and low sufficient to reach the         specific M-velocity M* at the critical condition point x*; and     -   a de Laval M-velocity is at least one of the de Laval low         M-velocity and the de Laval high M-velocity.

In view of the foregoing description referring to FIGS. 6f and 6g , it will be evident to a person skilled in the art that one can optimize the specifically shaped tunnel of convergent-divergent jet-nozzle 650 providing such a conformity of the cross-sectional area of the open inlet with the de Laval high M-velocity of flowing fluid crossing the open inlet, that the flowing fluid M-velocity is substantially smooth at the entering the open inlet. Furthermore, one can control the cross-sectional area of open inlet, according to the equation of principle, providing conformity of the open inlet cross-sectional area with the variable M-velocity of the entering flowing fluid. This may become important, for example, to suppress vibrations of a fast slowing vehicle.

Two-Stage Convergent-Divergent Jet-Nozzle

FIG. 6h is a schematic illustration of a two-stage convergent-divergent jet-nozzle 690 exposed to an incoming fast fluid-flow 691, streaming with a high M-velocity M₆₉₁, higher than the specific M-velocity M*=/√{square root over ((γ−1)/γ)}, i.e. with a de Laval high M-velocity. Two-stage convergent-divergent jet-nozzle 690, constructed according to the principles of a preferred embodiment of the present invention, has an inner tunnel comprising the first and second convergent-divergent stages, separated by widened reservoir 694. The first convergent-divergent stage performs the first-stage convergent inlet-funnel 692 gradually turning into the first-stage narrow convergent-divergent throat 693 having a local narrowest cross-section providing the first critical condition point 6981 and having an inverse-funnel shaped pipe leading to widened reservoir 694. The second convergent-divergent stage comprises the second-stage narrow throat 696, having a local narrowest cross-section providing the second critical condition point 6982, and the second-stage divergent exhaust tailpipe 697.

Incoming fast fluid-flow 691 is gradually slowing down, becoming warmer and more thickened and compressed as moving along the first convergent-divergent stage to widened reservoir 694 as described hereinbefore with reference to FIGS. 6f and 6g . Slow, hot and compressed fluid 695 further movies through the second convergent-divergent stage. The fluid flow is accelerating as moving through throat 696, where exceeds the specific M-velocity M*=√{square root over ((γ−1)/γ)} downstream-behind the second critical condition point 6982. Jetstream 699 outflowing through divergent exhaust tailpipe 697, is faster and colder than slow, hot and compressed fluid 695, yet to be entered into the second convergent-divergent stage, as described hereinbefore tracing after incoming compressed and hot airstream 611 with reference to FIGS. 6a and 6b . Fast outflowing jetstream 699 has a cross-section wider than incoming fast fluid-flow 691 at the input of convergent inlet-funnel 692. So, the M-velocity M₆₉₉ of fast outflowing jetstream 699 is higher than the M-velocity M₆₉₁ of fast fluid-flow 691, according to equation (6.13).

Thereby, two-stage convergent-divergent jet-nozzle 690 operates as a jet-booster based on the de Laval enhanced jet-effect launching outflowing jetstream 699, which is faster than fast fluid-flow 691 incoming with the de Laval high M-velocity M₆₉₁, i.e. higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}. This is one more teaching of the present invention.

Optimal Implementation of Convergent-Divergent Jet-Nozzle

FIG. 7a shows comparative graphs 700 for the dependencies of the nozzle tunnel extension ratio vs. the airflow M-velocity, calculated by the classical and suggested models, namely, curves 703 and 704 correspondingly; wherein the vertical axis 701 is the ratio A/A*, and the horizontal axis 702 is the airflow M-velocity measured in temperature dependent Mach numbers. The dashed curve 703 is the convergent-divergent cross-sectional area ratio A/A* profile vs. the airflow M-velocity, calculated using equation (1) derived from the Euler equations of fluid motion. The solid curve 704 is the convergent-divergent cross-sectional area ratio A/A* profile vs. the airflow M-velocity, calculated using suggested equation (6.13) derived from the generalized equations of fluid motion. The critical condition point 708 corresponds to the specific M-velocity M*=√{square root over ((γ−1)/γ)}≈0.5345. Comparative graphs 700 show that one needs in a substantially extra-widened nozzle tunnel 704 to reach the airflow M-velocities substantially higher than 1 Mach.

Therefore, a convergent-divergent jet-nozzle, constructed according to an exemplary embodiment of the present invention, allows increased efficiency of the jet-effect for use at high-subsonic, transonic, supersonic, and hypersonic velocities that can be applied to rocket nozzle design.

Taking into account relation (6.11), one can derive equations bonding the exhaust-nozzle outlet M-velocity M_(e) with the ratios P₀/P_(e) and T₀/T_(e), where P_(e) and T_(e) are correspondingly the static pressure and temperature at the exhaust-nozzle tunnel outlet:

$\begin{matrix} {M_{e} = {\sqrt{\frac{2}{\gamma}}\sqrt{\left( \frac{P_{0}}{P_{e}} \right)^{\frac{\gamma - 1}{\gamma}} - 1}}} & {{Eq}.\mspace{14mu} \left( {7.1a} \right)} \\ {\frac{P_{0}}{P_{e}} = \left( \frac{2 + {\gamma \; M_{e}^{2}}}{2} \right)^{\frac{\gamma}{\gamma - 1}}} & {{Eq}.\mspace{14mu} \left( {7.1b} \right)} \\ {\frac{T_{0}}{T_{e}} = \left( \frac{2 + {\gamma \; M_{e}^{2}}}{2} \right)} & {{Eq}.\mspace{14mu} \left( {7.1c} \right)} \\ {\frac{\rho_{0}}{\rho_{e}} = \left( \frac{2 + {\gamma \; M_{e}^{2}}}{2} \right)^{\frac{1}{\gamma - 1}}} & {{Eq}.\mspace{14mu} \left( {7.1d} \right)} \end{matrix}$

In contrast to the classical theory, saying that both: the de Laval jet-effect and the velocity of sound are reachable when the ratio P₀/P_(e) is of 1.893, equation (7.1b) shows that, on the one hand, to obtain the de Laval jet-effect [i.e. condition M_(e)≥M*] for air using a nozzle tunnel having an optimal convergent-divergent shape, one must provide the ratio P₀/P* at least of 1.893, and, on the other hand, to accelerate an air portion up to the velocity of sound [i.e. M_(e)=1], one must provide the ratio P₀/P_(e) at least of 6.406. Equation (7.1c) says that, on the one hand, to obtain the de Laval jet-effect for air utilizing a nozzle tunnel having optimal convergent-divergent shape, one must provide the ratio T₀/T, at least of 1.2; and, on the other hand, to accelerate an air portion up to the velocity of sound, one must provide the ratio T₀/T_(e) at least of 1.7. So, the principle condition either 1.893<P₀/P_(e)<6.406 or/and 1.2<T₀/T_(e)<1.7 may provide the de Laval jet-effect occurring without the phenomenon of shock sound-wave emission that is one of the primary principles of the present invention.

Thus, a convergent-divergent jet-nozzle tunnel, constructed according to an exemplary embodiment of the present invention and exploited in accordance with the principle conditions, allows an optimal implementation and efficient use of an enhanced jet-effect at de Laval M-velocities.

Vortex Tube as Convergent-Divergent Jet-Nozzle

Reference is now made again to prior art FIG. 1l , showing vortex-tube 190, and FIG. 6a , showing convergent-divergent jet-nozzle 610 constructed according to an exemplary embodiment of the present invention.

Point out that the vortex tube 190's exhaust tunnels to outlets 317 and 318 can be considered as converging and convergent-divergent jet-nozzles correspondingly at heating and cooling ends.

Consider, for simplicity, the nozzle effect only at outlet 19.8. Apply estimations (7.1a,b,c) to an ideal construction of vortex tube 190 and take into account the aforementioned conditions of exploitation. Namely, entering air 310 has the pressure of P₀=6.9 bar, while the value P_(e) is about 1 bar such that P₀/P_(e) is substantially higher than 1.893 that provides M-velocity of M*=√{square root over ((γ−1)/γ)} into the “throat” 19.9. Moreover, the estimated ratio P₀/P_(e)˜6.4 says that if the widening exhaust tunnel, having outlet 19.8 diameter greater than inner diameter 19.9 would be constructed in accordance with an exemplary embodiment of the present invention similar to convergent-divergent jet-nozzle 610 (FIG. 6a ) such that A_(e)/A*≈1.5197, then outlet 19.8 M-velocity is expected to be approximately of M_(e)≈1. In this case, it follows from (7.1c) that the reachable temperature ratio is T₀/T_(e)=1.7. I.e., if T₀=21° C.=294.14° K, then T_(e)≈173° K≈−100° C. This estimation shows that:

-   -   first, the novel explanation of the well-known vortex-tube         effect by the dominant phenomenon occurred in the de Laval         convergent-divergent jet-nozzle is confirmed by calculations         based on equations (7.1a,b,c); and     -   second, a cooling temperature, substantially lower than the         aforementioned “−34° C.”, is reachable by optimizing the         mentioned outlet convergent-divergent tunnel shape.

Thus, a convergent-divergent jet-nozzle, constructed and exploited according to an exemplary embodiment of the present invention, allows optimizing the efficiency of an enhanced jet-effect use to launch an extra-cooled gas outflow.

Compressor Supplied by Convergent-Divergent Jet-Nozzle

FIG. 7b is a schematic illustration of a hypothetically optimal convergent-divergent jet-nozzle 710 with the critical condition point 718 applied to accelerate air portion 711, constructed according to the principles of the present invention. Air portion 711 is compressed and heated in a reservoir 712. To compress air portion 711 up to pressure P₀=6.4 bar one needs to consume the energy E₀ estimated as (P₀−P_(e))V₀, where V₀ is the volume of the gas reservoir 712. For V₀=1 m³, the energy E₀ is estimated as E₀≈5.4×10⁵ J=540 kJ. The volume V₀ is composed of approximately n≈(P₀/P_(e))×1000/22.4=286 moles of gas. When air portion 711 is accelerated and expanded in de Laval-like nozzle 710, it acquires kinetic energy at the expense of thermodynamically related pressure and temperature decrease; wherein the pressure decreases from P₀ to P_(e) and the temperature decreases from T₀ to T_(e). Let air portion 711 accelerate in hypothetically optimal convergent-divergent jet-nozzle 710 such that the velocity of the outflowing stream 713 is almost as the speed of sound, i.e. the exhaust M-velocity is of Me 1. Then T₀/T_(e)=1.7 and (T₀−T_(e))=T₀(1−1/1.7)=0.412T₀. In this case, the acquired kinetic energy equals K=n×(T₀−T_(e))R that is estimated as:

K=n×0.412T ₀ R≈286×0.412×298×278≈9,761,674 J=9,762 kJ.

This estimation shows that the triggered acquired kinetic energy K may exceed the triggering consumed energy E₀ at least at subsonic velocities by the factor of 18 times. The acquired kinetic energy can be applied to a vehicle motion or to an engine for electricity generation with positive net-efficiency. On the other hand, the acquiring of kinetic energy is accompanied by the air temperature decrease, therefore, such a convergent-divergent jet-nozzle can be applied to cooling of a vehicle engine as well as be used either for electricity harvesting by means of a Peltier element operating as thermoelectric generator and/or as an effective condenser of vapor to water.

Flying Capsule as Dragging-Jet Engine

FIG. 7c is a schematic sectional view of a flying capsule corpus 720 in a sagittal plane. Capsule corpus 720, constructed according to the principles of the present invention, has outer airfoil side 729 and comprises an inner converging reservoir 721 as a dragging compressor having an open inlet 725 exposed to ambient wind 724 and further having a hypothetically optimal convergent-divergent tunnel 722 with a narrow throat comprising a critical condition point 728 and divergent exhaust tailpipe having an open outlet 726 of area A_(e). The velocity of ambient air 724 relative to capsule 720 is u_(a) which is substantially lower than the critical condition velocity u*, corresponded to the specific M-velocity M*=√{square root over ((γ−1)/γ)}. The wind portion 727 enters the inner converging reservoir 721 with the velocity equal to u_(in). The area A_(in) of inlet 725 is substantially wider than the area A* of the throat's cross-section at the critical condition point 728 such that air portion 727 crosses the area A* at the critical condition point 728 with the maximal reachable M-velocity equal to the specific M-velocity M*=√{square root over ((γ−1)/γ)}, and so the de Laval enhanced jet-effect is expected in the divergent exhaust tailpipe having outlet 726, where the velocity of outflowing jetstream 723 reaches a value u_(e) higher than the velocity u, corresponding to the critical condition point 728. In an exemplary embodiment of the present invention, an optimal shape of tunnel 722 provides that the value u_(e) is lower than the speed of sound u_(sound). Outflowing jetstream 723 brings the kinetic power acquired at the expense of the flow warmth. The acquired kinetic power of outflowing jetstream 723 may be high as or even become higher than the power consumed to compensate drag, defined by a drag coefficient corresponding to a concave shape of the inner converging reservoir 721, and thereby to maintain the flying velocity u_(a) of capsule 720. Capsule 720 is interpreted as a motionless dragging-jet engine.

Outer airfoil side 729 of capsule corpus 720 provides laminar-like flowing of wind outer sub-portions 731 and 732, moving adjacent to outer airfoil side 729 and being subjected to the Coanda-effect operation and, thereby, attracted to the nearby surfaces of outer airfoil side 729. Outflowing jetstream 723 having the decreased static pressure sucks outer sub-portions 731 and 732. The cumulative confluence of sub-portions 731, 732, and 723 constitutes cumulative jetstream 734, associated with the airfoil corpus of capsule 720. In general, the formed cumulative jetstream 734, composed of sub-portions 731, 732, and 723, is turbulent; however, in an optimal case, the turbulence can be suppressed substantially. For simplicity, consider a case of a laminar-like cumulative jetstream 734, “bordered” by streamlines 733. On the one hand, the velocities of outer sub-portions 731 and 732, being lower than the critical condition velocity u*, are increasing as the attracted outer sub-portions enter the space of cumulative jetstream 734, where the velocities increase is accompanied by a constriction of outer sub-portions 731 and 732, in accordance with equation (6.13). On the other hand, at outlet 726, the velocity of inner sub-portion 723 is of value u_(e) higher than the critical condition velocity u*. According to equation (6.13), the velocity of inner sub-portion 723 is decreasing as the sub-portion enters the space of cumulative jetstream 734, where inner sub-portion 723 is constricting as well. If the case is optimized such that the both constrictions are identical, cumulative jetstream 734 is expected to be laminar-like indeed. Bordering streamlines 733 constitute an imaginary convergent-divergent jet-nozzle comprising a narrow throat having the minimal cross-sectional area at the outer critical condition point 738, where the effective M-velocity of cumulative jetstream 734 reaches the specific value M*=√{square root over ((γ−1)/γ)}. If, upstream-afore the outer critical condition point 738, the effective M-velocity of cumulative jetstream 734 is lower than the specific M-velocity M*, then the M-velocity of cumulative jetstream 734 is increasing as cumulative jetstream 734 moves such that outflowing divergent portion 735 has M-velocity higher than M* downstream-behind the outer critical condition point 738; and vice versa, if, upstream-afore the outer critical condition point 738, the effective M-velocity of cumulative jetstream 734 is higher than the specific M-velocity M*, then the M-velocity of cumulative jetstream 734 is decreasing as cumulative jetstream 734 moves such that outflowing divergent portion 735 has the M-velocity lower than the specific M-velocity M*.

In view of the foregoing description referring to FIG. 7c , it will be evident to a person skilled in the art that:

-   -   The shape of tunnel 722 can be optimized to provide that the         velocity value u_(e) of outflowing jetstream 723 becomes higher         than the speed of sound u_(sound). As well, it will be evident         to a person skilled in the art that the shape of tunnel 722 and         outer airfoil side 729 of capsule 720 can be optimized to         provide that outflowing divergent portion 735 has increasing         M-velocity reaching values higher than the specific M-velocity         M*;     -   Supplying a flying vehicle or helicopter's propeller blades by         nozzles similar to capsule 720 operating as jet-booster, one         could save fuel consumption substantially and even provide a         stable motion against a drag and skin-friction resistance         entirely with no fuel burning at all. As well, it will be         evident to a person skilled in the art that this is not a         so-called “Perpetuum mobile”, but a use of ambient fluid heat to         produce useful motion, strongly according to the Energy         Conservation Law. Furthermore, looking ahead referring to FIGS.         9d, 9e, and 9f described hereinafter, point out that an even         number of such jet-boosters, attached to the even number of         blades of a helicopter's propeller, result in stabilization of         the effective velocities of incoming and outflowing jetstreams         associated with the jet-boosters. The predictably equalized         velocities enable easier controllable lift-forces when the         helicopter is flying speedily;     -   The described airfoil capsule can be stationary exposed to         oncoming wind (either natural or artificial) and thereby become         applicable to an efficient harvesting of electricity providing a         positive net-efficiency; and     -   One can further aggregate the open outlet of a specifically         shaped convergent-divergent tunnel with an engine using the         enhanced jet-effect providing an extra-accelerated and         extra-cooled jetstream outflowing through the open outlet;         wherein the engine is either a jet-engine, and/or a turbo-jet         engine, and/or a motor applied to a vehicle, and/or a generator         of electricity, and/or a cooler, and/or a Peltier element         operating as thermoelectric generator, and/or vapor-into-water         condenser.

FIG. 7d is a schematic sectional view of a flying capsule 740, constructed according to the principles of the present invention. Flying capsule 740's profile in a sagittal plane has an airfoil outer contour and a contour of a specifically shaped two-stage inner tunnel. In contrast to flying capsule 720 illustrated hereinbefore referring to FIG. 7c , capsule 740 flies with a de Laval high M-velocity, i.e. higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, and the two-stage inner tunnel is shaped similar to the tunnel of two-stage convergent-divergent jet-nozzle 690, described above with reference to FIG. 6h . Namely, the two-stage inner tunnel comprises two narrow throats providing for two associated critical condition points 741 and 742. The oncoming fast flow 743 enters the open inlet 744 of the inner tunnel with a de Laval high M-velocity, higher than the specific M-velocity M*. Then flow 743 is gradually slowing down, becoming warmer and more compressed as moving to critical condition point 741 where reaching the specific M-velocity M*, further, is gradually extra-slowing, extra-warming and extra-compressing as moving to reservoir 745, according to equation (6.13), further, is gradually accelerating, cooling, and becoming decompressed as moving to critical condition point 742 where again reaching the specific M-velocity M*, and further, is gradually extra-accelerating, extra-cooling, and extra-decompressing as moving to outlet 746, as described hereinbefore with references to FIGS. 6a, 6b, 6f, 6g , and 6 h.

The cross-section of outlet 746 is wider than the cross-section of inlet 744, thereby providing for that capsule 740 operates as a jet-booster launching a widened and cooled outflowing jetstream 747 with a high M-velocity, higher than the de Laval high M-velocity of oncoming fast flow 743.

Improved Propeller and Ventilator

FIG. 7e is a schematic drawing of improved blowing propeller or ventilator 770, constructed according to the principles of the present invention, to operate in fluid surroundings. For simplicity and without loss of the description generality, consider improved blowing ventilator 770 operating in an open air space. Improved blowing ventilator 770, defined by the main functionality to launch a jetstream characterized by the flow headway-motion kinetic-power, has an inherent engine, which is not shown here, consuming either a power of burned fuel or an electrical power and operating in a steady-state mode. Improved blowing ventilator 770 comprises airfoil blades: first-airfoil-blades 772.1 and second-airfoil-blades 772.2, shown here schematically, each, when compounded with imaginary sagittal axis 771, having a chiral asymmetrical shape, wherein, preferably, the shape of first-airfoil-blades 772.1 is substantially mirror-symmetrical relative to the shape of second-airfoil-blades 772.2. First-airfoil-blades 772.1 and second-airfoil-blades 772.2 are forcedly rotating in transitional space “T7”, marked schematically as a cylindrical space portion between frontal planes 779.1 and 779.2. Mutually complemental first-airfoil-blades 772.1 and second-airfoil-blades 772.2 are forcedly rotating in mutually-opposite directions, indicated by curved arrows marked by reference numerals 773.1 and 773.2, correspondingly. Forcedly mutually-opposite rotating first-airfoil-blades 772.1 and second-airfoil-blades 772.2 cover effective cross-section 774, and, thereby, entrap and suck air portions 775.A from space “A7”, which is located upstream-afore effective cross-section 774, and convert flowing air portions 775.A into accelerated jetstream 775.B entering space “B7”, which is located downstream-behind effective cross-section 774. Space “A7”, comprising airflow portions 775.A subjected to the sucking and motion through effective cross-section 774, is bordered by streamlines of airflow 775.A, forming imaginable contours 776.A. The imaginary contours 776.A separate space “A7” from space “C7”, comprising air portions 775.C, drawn by airflow 775.A and flowing toward transitional space “T7” out of effective cross-section 774. Space “B7”, comprising jetstream 775.B, is bordered by streamlines, forming imaginable contours 776.B. The imaginary contours 776.B separate space “B7” from space “D7”, comprising air portions 775.D, drawn by jetstream 775.B and flowing downstream-behind transitional space “T7”. In contrast to the general case, when a complicated motion of air portions 775.A, 775.B, 775.C, and 775.D comprises both: a headway-motion, i.e. a laminar component of motion aligned with the imaginary contours 776.A and 776.B having a prevalent direction along imaginary sagittal axis 771, and a whirling-motion, i.e. a turbulent component of motion, dominantly, whirling around imaginary sagittal axis 771; the forcedly mutually-opposite rotating first-airfoil-blades 772.1 and second-airfoil-blades 772.2 are optimized to prevent the power-consuming whirling motion and provide the desired dominant headway-motion of air portions 775.A, 775.B, 775.C, and 775.D, as one of the primary features of improved blowing ventilator 770. For simplicity, further describing the optimized case, minor effects caused by the whirling turbulence will be ignored. In the optimized case, the power, consumed by the inherent engine of improved blowing ventilator 770, dominantly, is expended for:

-   -   the headway-motion of air portions 775.A, which then are         transformed into jetstream 775.B;     -   the directional motion of air portions 775.C, which then are         transformed into moving air portions 775.D;     -   the overcoming of air viscous-resistance; and     -   the compensation of inner resistance of the inherent engine.         Wherein the part of the power consumption, expended on the         overcoming of air viscous-resistance and compensation of inner         resistance of the inherent engine, dissipates in the acquired         warmth of outflowing air portions 775.B and 775.D.         Mutually-opposite rotating first-airfoil-blades 772.1 and         second-airfoil-blades 772.2 have optimized shapes, in addition         providing a certain focusing of jetstream 775.B, such that         streamlines 776.A and 776.B constitute an imaginary         convergent-divergent tunnel. Furthermore, the speeds of         first-airfoil-blades 772.1 and second-airfoil-blades 772.2         mutually-opposite rotations are optimized such that jetstream         775.B moves through cross-section 778.B of the minimal area with         the specific M-velocity M*=√{square root over ((γ−1)/γ)},         thereby making the imaginary convergent-divergent tunnel,         constituted by streamlines 776.A and 776.B, in principle,         similar to the specifically shaped tunnel of         convergent-divergent jet-nozzle 610 shown in FIG. 6a , wherein         imaginary sagittal axis 771 and imaginary sagittal x-axis 615         (FIG. 6a ) are collinear, effective cross-section 774 takes the         place of imaginary inlet 6131 (FIG. 6a ), and cross-section         778.B of the minimal area provides the critical condition for         the de Laval effect triggering. Thus, the imaginary         convergent-divergent tunnel, constituted by streamlines 776.A         and 776.B, performs a de Laval-like nozzle. A de Laval-like         jet-effect, which is similar to the classical de Laval         jet-effect but arising in the de Laval-like nozzle having         imaginary walls formed by streamlines 776.A and 776.B of the         flowing air, is triggered, as described hereinbefore referring         to FIGS. 6a, 6b, 6c, 6d, and 6e , thereby resulting in an         extra-acceleration and extra-cooling of jetstream 775.B         immediately downstream-behind cross-section 778.B. This provides         one of the primary features of improved blowing ventilator 770.

The de Laval-like nozzle, having imaginary convergent-divergent tunnel formed by streamlines 776.A and 776.B of the flowing air, geometrically, is not identical with an optimized de Laval nozzle having solid walls, described hereinbefore referring to FIGS. 6a, 6b, 6c, 6d, and 6e , at least because of the osmotic-like effect inherently occurring on imaginary contours 776.A and 776.B, as described above with references to FIGS. 4 and 5 b. The osmotic-like effect is defined as an effect of exchange of molecular matter and heat between moving air portions. The osmotic-like effect includes a mutually-directed effect of diffusion, occurring because of both: the Brownian random motion of the fluid's molecules, and the effect of molecules motion in a cross-sectional plane, caused by the gradients of fluid density Δρ and temperature ΔT in the cross-sectional plane, which are interrelated with the jetstream 775.B convergent-divergent motion. The osmotic-like effect, reducing the gradients, is accumulative, making equation (6.13) applicable qualitatively to a local neighborhood of a coordinate at sagittal axis 771 only.

Since a certain distance downstream-behind cross-section 778.B of minimal area, namely, in transitional space “E7”, marked schematically as a cylindrical space portion between frontal planes 779.3 and 779.4, the extra-accelerated jetstream 775.B, subjected to a diffusion of molecules of air portions 775.D as the airflow moving along sagittal axis 771, becomes transformed into transitional jetstream 775.E, characterized by a local maximum of cross-sectional area, where the density and temperature of transitional jetstream 775.E are already not reducing and a high M-velocity of transitional jetstream 775.E, being higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, is not increasing more.

Farther, in space “F7” located downstream-behind transitional space “E7”, transitional jetstream 775.E is transformed into slowing jetstream 775.F, which, according to equation (6.13) qualitatively applicable to a local neighborhood, is characterized by an increase of airflow density and temperature. Slowing jetstream 775.F, bordered by convergent-divergent streamlines 776.F, reaches cross-section 778.F of minimal area, where the M-velocity of jetstream 775.F reverts to the specific M-velocity M*=√{square root over ((γ−1)/γ)} and the de Laval-like retarding-effect is triggered resulting in an extra-slowing and extra-warming of jetstream 775.F downstream behind cross-section 778.F of minimal area, as described hereinabove referring to FIGS. 6f and 6g , relating to jet-nozzle 650, having solid walls.

Gradual variations of the air thermodynamic parameters are expected in the open space, thereby providing optimized shapes of imaginary contours 776.A, 776.B, 776.E, and 776.F. These optimizations result in that improved blowing ventilator 770:

-   -   on the one hand, powered by the inherent engine, expends the         power for:         -   the headway-motion of air portions 775.A, further             transformed into directional jetstreams 775.B, 775.E, and             775.F,         -   the directional motion 775.C, further transformed into             directional motion 775.D,         -   the overcoming of air viscous-resistance, and     -   the compensation of inner resistance of the inherent engine; and     -   on the other hand, triggering the de Laval-like jet-effect in an         adiabatic process, saves the power for the jetstream 775.B         acceleration and extra-acceleration, correspondingly,         upstream-afore and downstream-behind cross-section 778.B,         providing one of the primary features of improved blowing         ventilator 770.

The resulting functionality net-efficiency of improved blowing ventilator 770 is defined by the ratio of the kinetic-power of launched jetstream 775.E to the power, consumed by the inherent engine of improved blowing ventilator 770.

In view of the foregoing description referring to FIG. 7e , it will be evident to a person skilled in the art that improved blowing ventilator 770 provides for jetstream 775.B launching and further acceleration and extra-acceleration at the expense of both: the power of inherent engine and the warmth of ambient air, so the resulting functionality net-efficiency of improved blowing ventilator 770 may exceed 100%. Furthermore, improved blowing propeller 770, having the resulting functionality net-efficiency higher than 100% and pushing a vehicle, in the final analysis, can operate at the expense of ambient warmth only.

In view of the foregoing description referring to FIG. 7e , it will be evident to a person skilled in the art that, to implement an improved blowing ventilator, having real corpus 777 occupying a certain space, comprising a part of transitional space “T7”, one should implement real corpus 777 as a fragment of a convergent-divergent tunnel for air portions 775.A and jetstream 775.B, applying principles of the present invention to an optimization of the tunnel shape, in order to suppress undesired power-consuming shock and Mach waves, as described hereinabove referring to FIGS. 6a, 6b, 6c, 6d, and 6e . As well, it will be evident to a person skilled in the art that real corpus 777 of an improved blowing ventilator may have real walls, occupying also substantial portions of spaces “A₇” and “B7”, implementing optimized contours 776.A and 776.B now becoming actual, such that the improved blowing ventilator comprises a real specifically shaped convergent-divergent tunnel having narrow throat with the critical condition point, as described hereinabove referring to FIG. 6a . As well, it will be evident to a person skilled in the art that an improved blowing ventilator can be used to accelerate and focus an ionized gas, i.e. plasma, controlled by an external magnetic field, wherein geometry of the imaginary walls, formed by streamlines 776.A and 776.B, can be controlled by the magnetic field, such that the imaginary walls, occupying substantial portions of spaces “A₇” and “B7”, form a specifically shaped convergent-divergent tunnel having narrow throat with the critical condition point, as described hereinabove referring to FIG. 6 a.

In view of the foregoing description referring to FIG. 7e , it will be evident to a person skilled in the art that one can implement transitional space “T7” of an improved propeller, characterized by the primary features of improved blowing ventilator 770, using a pair of rotating airfoil Archimedes screws having helically coiled airfoil-profiled walls, similar to walls of spirals 592 and 593, described hereinbefore referring to FIG. 5i , instead of the use of rotating first-airfoil-blades 772.1 and second-airfoil-blades 772.2. As well, transitional space “T7” can be implemented using a combination of many rotating airfoil blades and stationary or rotating airfoil screws of Archimedes.

FIG. 7f is a schematic drawing of improved sucking propeller or ventilator 780, constructed according to the principles of the present invention to operate in fluid surroundings. For simplicity and without loss of the description generality, consider improved sucking ventilator 780 operating in an open air space. Improved sucking ventilator 780 is defined by the main functionality, being inverse to the main functionality of improved blowing ventilator 770, described above with the reference to FIG. 7e , namely, to make an incoming jetstream, characterized by the flow headway-motion kinetic-power. Looking ahead, point out that improved sucking ventilator 780, constructed according to the principles of the present invention, is as inverse improved blowing ventilator 770. Improved sucking ventilator 780 has an inherent engine, which is not shown here, consuming either a power of burned fuel or an electrical power and operating in a steady-state mode. Improved sucking ventilator 780 comprises airfoil blades: first-airfoil-blades 782.1 and second-airfoil-blades 782.2, which are shown schematically, each having an asymmetrical and chiral geometrical configuration, wherein, preferably, the geometrical configuration of first-airfoil-blades 782.1 is mirror-symmetrical relative to the geometrical configuration of second-airfoil-blades 782.2. Mutually complemental first-airfoil-blades 782.1 and second-airfoil-blades 782.2 are forcedly rotating in transitional space “T8”, marked schematically as a cylindrical space portion between frontal planes 789.1 and 789.2. First-airfoil-blades 782.1 and second-airfoil-blades 782.2 are forcedly rotating in mutually-opposite directions, indicated by curved arrows marked by reference numerals 783.1 and 783.2, correspondingly. First-airfoil-blades 782.1 and second-airfoil-blades 782.2 have geometrical configurations such that, when forcedly mutually-opposite rotating and covering effective cross-section 784, entrap and suck incoming jetstream 785.B from space “B8”, which is located upstream-afore effective cross-section 784, convert incoming jetstream 785.B into defocusing airflow 785.A, divergently entering space “A₈”, which is located downstream-behind effective cross-section 784.

Incoming jetstream 785.B, subjected to the sucking, is bordered by streamlines forming imaginary contours 786.B. The imaginary contours 786.B separate space “B8” from space “D8”, comprising air portions 785.D, drawn by incoming jetstream 785.B and flowing toward transitional space “T8” out of effective cross-section 784. Space “A8”, comprising divergent airflow 785.A, is bordered by streamlines forming imaginary contours 786.A. The imaginary contours 786.A separate space “A8” from space “C8”, comprising air portions 785.C, drawn by divergent airflow 785.A and flowing downstream-behind transitional space “T8”. Forcedly mutually-opposite rotating first-airfoil-blades 782.1 and second-airfoil-blades 782.2 are optimized to prevent the power-consuming whirling motion and provide the desired dominant headway-motion of air portions 785.A, 785.B, 785.C, and 785.D, as one of the primary features of improved sucking ventilator 780.

Mutually-opposite rotating first-airfoil-blades 782.1 and second-airfoil-blades 782.2 have optimized shapes, in addition providing a certain defocusing of incoming jetstream 775.B, such that streamlines 786.B and 776.A constitute an imaginary convergent-divergent tunnel. Furthermore, the mutually-opposite rotations speeds are optimized such that incoming jetstream 785.B moves through cross-section 788.B of the minimal area with the specific M-velocity M*=√{square root over ((γ−1)/γ)}, thereby making the imaginary convergent-divergent tunnel, constituted by streamlines 786.B and 786.A, similar to the specifically shaped tunnel of convergent-divergent jet-nozzle 650 shown in FIG. 6f , wherein imaginary sagittal axis 781 and imaginary sagittal x-axis 655 (FIG. 6f ) are collinear, effective cross-section 784 takes the place of imaginary outlet 6532 (FIG. 6f ), and cross-section 788.B of the minimal area provides the critical condition for the de Laval effect triggering. Thus, the imaginary convergent-divergent tunnel, constituted by streamlines 786.B and 786.A, performs an inverse de Laval-like nozzle. A de Laval-like retarding-effect, which is similar to the classical de Laval retarding-effect described hereinbefore referring to FIG. 6f but occurring in the inverse de Laval-like nozzle having imaginary walls formed by streamlines 786.B and 786.A of the flowing air, is triggered, thereby resulting in an extra-slowing and extra-warming of incoming jetstream 785.B immediately downstream-behind cross-section 788.B. Furthermore, the condition of incoming jetstream 785.B moving through cross-section 788.B of the minimal area with the specific M-velocity M*=√{square root over ((γ−1)/γ)} interrelates with the condition of extra-pre-acceleration of incoming jetstream 785.B just upstream-afore cross-section 788.B, according to equation (6.13) qualitatively applicable to a local neighborhood. Thus, the M-velocity of incoming jetstream 785.B just upstream-afore cross-section 788.B is higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}. This provides one of the primary features of improved sucking ventilator 780.

Furthermore, again, according to equation (6.13) qualitatively applicable to a local neighborhood, the high M-velocity, higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, can be reached due to the direct de Laval-like jet-effect in an earlier pre-history of incoming jetstream 785.B, namely, in space “F8” comprising pre-incoming jetstream 785.F moving through imaginary convergent-divergent tunnel constituted by streamlines 786.F and having cross-section 788.F of local minimum area providing the critical condition. Then the accumulative osmotic-like effect results in that since a certain distance downstream-behind cross-section 788.F of local minimum area, namely, in transitional space “E8”, marked schematically as a cylindrical space portion between frontal planes 789.3 and 789.4, pre-incoming jetstream 785.F, subjected to a diffusion of air molecules as moving along sagittal axis 781, becomes transformed into transitional jetstream 785.E, characterized by a local maximum of cross-sectional area, where the density and temperature of transitional jetstream 785.E are already not reducing and the M-velocity of transitional jetstream 785.E, being higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, is not increasing more. Transitional jetstream 785.E becomes transformed into incoming jetstream 785.B subjected to the de Laval-like retarding-effect resulting in incoming jetstream 785.B slowing and extra-slowing. Thus, relatively slow divergent airflow 785.A has an upstream pre-history, comprising the pre-accelerated and extra-pre-accelerated headway-motion of jetstream 785.B downstream-behind and upstream-afore cross-section 788.B, correspondingly, wherein gradual variations of the air thermodynamic parameters are expected in the open space, thereby providing optimized shapes of imaginary contours 786.B and 786.A. These optimizations result in that improved sucking ventilator 780:

-   -   on the one hand, powered by the inherent engine, expends the         power for:         -   the headway-motion of pre-incoming jetstream 785.F, further             transformed sequentially into directional motion of             transitional jetstream 785.E, incoming jetstream 785.B, and             divergent airflow 785.A,         -   the directional motion of outer portions 785.D, further             transformed into directional motion of outer portions 785.C,         -   the overcoming of air viscous-resistance, and         -   the compensation of inner resistance of the inherent engine;     -   and     -   on the other hand, triggering the de Laval-like retarding-effect         having pre-history comprising the de Laval-like jet-effect in an         adiabatic process, saves the power for the incoming jetstream         785.B motion, accelerated and pre-extra-accelerated,         correspondingly, downstream-behind and upstream-afore         cross-section 788, providing one of the primary features of         improved sucking ventilator 780.

The resulting functionality net-efficiency of improved sucking ventilator 780 is defined by the ratio of the kinetic-power of sucked transitional jetstream 785.E to the power, consumed by the inherent engine of improved sucking ventilator 780.

In view of the foregoing description referring to FIG. 7f , it will be evident to a person skilled in the art that improved sucking ventilator 780 provides for pre-incoming jetstream 785.F sucking pre-acceleration and extra-pre-acceleration at the expense of both: the power of inherent engine and the warmth of ambient air, so the resulting functionality net-efficiency of improved sucking ventilator 780 may exceed 100%. Furthermore, improved sucking propeller 780, having the resulting functionality net-efficiency higher than 100% and pulling a vehicle, in the final analysis, can operate at the expense of ambient warmth only.

In view of the foregoing description referring to FIG. 7f , it will be evident to a person skilled in the art that, to implement an improved sucking ventilator, having real corpus 787 occupying a certain space, comprising a part of transitional space “T8”, one should implement real corpus 787 as a fragment of a convergent-divergent tunnel for incoming jetstream 785.B and divergent airflow 785.A, applying principles of the present invention to an optimization of the tunnel shape, in order to suppress undesired power-consuming shock and Mach waves, as described hereinabove referring to FIGS. 6a, 6b, 6c, 6d, 6e, and 6f . As well, it will be evident to a person skilled in the art that real corpus 787 of an improved sucking ventilator may have real walls, occupying also substantial portions of spaces “B8” and “A8”, implementing optimized contours 786.B and 786.A now becoming actual, such that the improved sucking ventilator comprises a real specifically shaped convergent-divergent tunnel having narrow throat with the critical condition point, as described hereinabove referring to FIG. 6 f.

In view of the foregoing description referring to FIGS. 7e and 7f , it will be evident to a person skilled in the art that one can:

-   -   implement the schematically shown mutually-opposite rotating and         mutually complemental airfoil blades using many relatively small         mutually-opposite rotating and mutually complemental airfoil         blades, distributed spatially, altogether providing the         mentioned primary features of an improved blowing and/or sucking         propeller and/or ventilator;     -   cascade an improved sucking propeller and an improved blowing         propeller such that imaginary sagittal axis 771 is as a         continuation of imaginary sagittal axis 781, and space “A7”         follows downstream behind space “A8”, thereby creating a         combined improved sucking-and-blowing propeller. A vehicle,         supplied with such a combined improved sucking-and-blowing         propeller, provides for an optimized motion with a reduced drag;         and     -   implement transitional space “T7” and/or “T8” of an improved         propeller, characterized by the primary features of improved         blowing ventilator 770 and/or improved sucking ventilator 780,         correspondingly, as a not obligatorily connected transitional         space, but comprising several separate sub-spaces, each defined         by at least one smaller propeller.

In view of the foregoing description referring to FIGS. 7e and 7f , in combination with the foregoing description referring to FIGS. 5h, 5j, and 5k , it will be evident to a person skilled in the art that one can implement a device, similar to improved blowing and/or sucking propeller 770 and/or 780, correspondingly, but comprising first-airfoil-blades 772.1 and/or 782.1 and second-airfoil-blades 772.2 and/or 782.2, both remain stationary, wherein the device, having no moving parts, is submerged in water surroundings, and wherein at least some sides of the stationary airfoil blades are covered with a hydrophobic material, that provides creating of a launched and/or sucked water jetstream at the expense of the water warmth only. Furthermore, estimations, made referring to FIG. 5h , show that a big quantity of such small hydrophobic-propellers, in particular, comprising stationary but hydrophobic blades, altogether cumulatively functioning like an improved launching and/or sucking propeller, can provide a powerful water jetstream that can be used, in particular, for pushing a submarine at the expense of the water warmth.

Wing as a Convergent-Divergent Jet-Nozzle

FIG. 8a is a schematic visualization 800 of an oncoming wind portion 820, without loss of generality, moving horizontally. Oncoming wind portion 820 comprises airflow sub-portions 821, 822, 823, and 824 flowing around actually-airfoil wing 810, having a sectional profile, constructed according to the principles of the present invention. The upper side of actually-airfoil wing 810 comprises:

-   -   (a) a forward part meeting upper sub-portion 822 having         imaginary cross-section 831;     -   (b) a withers defined as the highest point on the upper side of         the airfoil profile, where sliding sub-portion 822 has imaginary         narrowed cross-section 832, and     -   (c) a rearward part, attracting and, thereby, redirecting the         mass-center of the upper sliding sub-portion 822         backward-downward, where sliding sub-portion 822 has imaginary         widened cross-section 833.

When airflow sub-portions 821, 822, 823, and 824 are flowing around actually-airfoil wing 810, the streamlines [not shown here] of sub-portions 822 and 823, flowing near actually-airfoil wing 810, are curving in alignment with the airfoil-profile, the streamlines [not shown here] of portions 821 and 824, flowing farther from actually-airfoil wing 810, keep substantially straight trajectories aligned with imaginary horizontal lines 811 and 812 correspondingly above and under actually-airfoil wing 810. Actually-airfoil wing 810's surface material properties, porosity, and structure are implemented according to the principles of the present invention providing that air sub-portions 822 and 823 are subjected to the Coanda-effect, defined by the partial pressure-“c” δP_(c), rather than to the skin-friction resistance, occurring in an imaginary boundary layer and being quantified by the difference (a_(w)−a−δa).

Imaginary lines 811 and 812 can be considered as imaginary walls, thereby, together with the airfoil-profile forming imaginary nozzles. The upper imaginary nozzle comprises imaginary cross-sections 831, 832, and 833, and the lower imaginary nozzle comprises imaginary cross-sections 834 and 835. Cross-section 831 is wider than cross-section 832 and cross-section 832 is narrower than cross-section 833, thereby, the upper imaginary nozzle has a convergent-divergent shape and sliding sub-portion 822 represents a convergent-divergent jetstream while flowing through cross-sections 831, 832, and 833. Cross-section 834 is wider than cross-section 835, so the lower imaginary nozzle has a converging shape. Consider a case, when actually-airfoil wing 810 flies with a de Laval low M-velocity M₈₁₀ that is lower than the specific M-velocity M*=√{square root over ((y−1)/γ)}≈0.5345 Mach≈664 km/h, but such that sliding sub-portion 822, moving through the upper imaginary nozzle, reaches the specific M-velocity M* when passes through the narrowest cross-section 832. So, the de Laval-like jet-effect arising is expected above actually-airfoil wing 810, i.e. within the upper imaginary convergent-divergent jet-nozzle. This is accompanied by the static pressure decrease and extra-decrease, as described hereinabove with the reference to FIG. 6b , and thereby results in the lift-effect, becoming stronger. In frames of the aerodynamics, one estimates the narrowest cross-section 832 linear size, i.e. thickness of a so-called “boundary layer”, normalized to a so-called “characteristic size” of the considered wing, as proportional to so-called Reynolds Number. As well, the thickness of boundary layer can be specified experimentally for a kind of body corpuses. In view of the foregoing description referring to FIG. 6a and FIG. 8a , it will be evident to a person skilled in the art that, basing on the defined narrowest cross-section 832 linear size as the thickness of boundary layer, one can apply the equation of principle (6.13) to design an improved profile of the wing.

In view of the foregoing description referring to FIG. 8a , it will be evident to a person skilled in the art that the described de Laval-like jet-effect is similar to the classical de Laval jet-effect, but arising in an optimized convergent-divergent tunnel having imaginary walls formed by streamlines of a flow. Namely, the specifically shaped convergent-divergent tunnel comprises two opposite walls; wherein one of the two opposite walls is constructed from a solid material and another of the two opposite walls is imaginary and formed by streamlines of the flowing fluid subjected to the Coanda-effect operation.

Thus, a method for a wing profile design, based on equation (6.13) according to an exemplary embodiment of the present invention, allows optimizing the wing airfoil shape to reach the best efficiency of the lift-effect as a result of the enhanced jet-effect occurring above the wing. The inventor points out that the profile of the actually-airfoil wing 810 designed and optimized using the equation (6.13) has a birdlike wing shape.

The Coanda-Effect Operation Providing an Imaginary Convergent-Divergent Nozzle

FIG. 8b is a schematic illustration of a flying airfoil body 840 having the shape of an elongated drop. For simplicity and without loss of reasoning, the shape is axis-symmetrical around the longitudinal axis 841. The airfoil body 840 comprises:

-   -   a forward part meeting oncoming flow portion 851;     -   a “withers”, defined as the highest point on the upper side of         the airfoil profile, where sliding sub-portion 853 has an         imaginary narrowed cross-section 868, and     -   a rearward part.

When an oncoming air portion 851, originally having a cross-sectional area 861, is running at the forward part of flying body 840, it is subjected to the Coanda-effect operation resulting in air portion 851 reshaping, and thereby forming an ambient-adjoining convergent-divergent jetstream, comprising sliding sub-portions: 852 being convergent, 853 being narrow and having imaginary narrowed cross-section 868 of the minimal cross-sectional area, 854 being divergent, and 855 becoming convergent due to the Coanda-effect attraction. Body 840's surface material properties, porosity, and structure are implemented according to the principles of the present invention, thereby providing that air portion 851 is subjected to the Coanda-effect, defined by the partial pressure-“c” δP_(c), rather than to the skin-friction resistance, occurring in an imaginary boundary layer and being quantified by the difference (a_(w)−a−δa). Furthermore, sliding sub-portions 855, join together, forming the resulting cumulative air portion 856. Oncoming air portion 851 and all the mentioned derivative sub-portions move within space “bordered” by imaginary walls marked by dashed contours 842. The imaginary walls 842 together with the airfoil surface of body 840 constitute an imaginary tunnel. The tunnel's cross-section gradually constricts from the inlet cross-section 862 to the narrowest cross-section 868 and then gradually widens up to the outlet cross-section 863. I.e. sliding sub-portions 852 are shrinking while reaching the withers of airfoil body 840, where the cross-sections 868 of sub-portions 853 become minimal. Then, behind the withers, the cross-sections of sub-portions 854 and 855 are widening as moving.

Sliding sub-portions 855, being under the subjection of the Coanda-effect operation, turn aside in alignment with the slippery surfaces of airfoil body 840's rearward part and join together, forming the resulting air portion 856. It results in a convergence of resulting air portion 856, i.e. in that, cross-section 864, located farther downstream, becomes narrower than cross-section 863 located immediately behind airfoil body 840, and opposite streamline-fragments 843 form an imaginary convergent funnel.

Furthermore, opposite streamline-fragments 844, which are bordering flow portion 857, constitute an imaginary divergent stage of a tunnel downstream-behind the narrowest cross-section 864.

Thereby, the converging opposite streamline-fragments 843 and divergent opposite streamline-fragments 844 together constitute the imaginary convergent-divergent tunnel, and, correspondingly, portions 856 and 857 together constitute an outflowing convergent-divergent jetstream.

Jet-Booster Based on the Venturi Effect

First, consider a case, when airfoil body 840 flies with a Venturi M-velocity, i.e. with a low M-velocity, lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}≈0.5345 Mach, and low sufficient to provide that M-velocity M₈₆₈ of accelerated sliding sub-portions 853, passing cross-sections 868 over the withers, and M-velocity M₈₆₄ of accelerated sub-portions 856, passing through the narrowest cross-section 864, both remain lower than the specific M-velocity M*, i.e. M₈₆₈<M* and M₈₆₄<M*. In this case, the narrowest cross-section 864 of outflowing air portion 856 is narrower than the original cross-section 861 of oncoming air portion 851, and the M-velocities M₈₆₁, M₈₆₃, M₈₆₄, M₈₆₅, and M₈₆₈, where the indices correspond to markers of associated cross-sections, satisfy the following conditions:

-   -   M₈₆₁<M₈₆₈<M     -   M₈₆₃<M₈₆₈<M*,     -   M₈₆₃<M₈₆₄<M     -   M₈₆₁<M₈₆₄<M*, and     -   M₈₆₅<M₈₆₄<M*         Thus, body 840 operates as a jet-booster basing on the Venturi         effect occurring in the imaginary tunnel adjacent to body 840's         surfaces.

A practical application of the phenomenon that, under certain conditions, outflowing portion 856, moving through the narrowest cross-section 864, has a velocity higher than the velocity of oncoming portion 851 is one of the primary teachings of the present invention.

Jet-Boosters Based on the De Laval-Like Jet-Effect

Secondly, consider a case, when airfoil body 840 flies relatively slowly, such that sliding sub-portions 853 pass cross-sectional areas 868 with an M-velocity that remains lower than the specific M-velocity, i.e. M₈₅₃<M*, but high sufficient to provide that the increased M-velocity of portion 856 is higher than M-velocity of sub-portions 853 and reaches the specific M-velocity M*=√{square root over ((γ−1)/γ)} at the critical condition point 864. In this case, M-velocity M₈₆₃ is the de Laval low velocity and the de Laval-like jet-effect is triggered, resulting in that the M-velocity of the divergent flow portion 857 exceeds the specific M-velocity M*=√{square root over ((γ−1)/γ)}. In this case, the M-velocities M₈₆₁, M₈₆₃, M₈₆₄, M₈₆₅, and M₈₆₈ satisfy the following conditions:

-   -   M₈₆₁<M₈₆₈<M*,     -   M₈₆₃<M₈₆₈<M*,     -   M₈₆₃<M₈₆₄=M*     -   M₈₆₁<M₈₆₄=M*, and     -   M₈₆₅>M₈₆₄=M*.         So, body 840 operates as a jet-booster basing on the de         Laval-like jet-effect occurring in the imaginary tunnel         downstream-behind airfoil body 840.

Thereby, the Coanda-jet-effect operation forcedly forms convergent-divergent laminar-like streamlines downstream-behind airfoil body 840, wherein the static pressure is distributed gradually along the convergent-divergent laminar-like streamlines that provides an optimized extension of air portion 857 resulting in the de Laval-like enhanced jet-effect accompanied by extra-cooling and extra-acceleration of air portion 857. This is one more teaching of the present invention.

A practical application of the phenomenon that, under certain conditions, outflowing portion 857 has an M-velocity higher than the specific M-velocity is one of the primary teachings of the present invention.

It will be evident to a person skilled in the art that the enhanced jet-effect results in an optimized reactive thrust-force applied to airfoil body 840.

Thirdly, consider a case, when airfoil body 840's shape is optimized using the equation of principle (6.13), basing on an estimated linear size of cross-section 868, and when airfoil body 840 flies with a de Laval low M-velocity M₈₅₁, i.e. lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}≈0.5345 Mach, but high sufficient to provide that M-velocity of sliding sub-portions 853 reaches the value of the specific M-velocity, i.e. M₈₆₈=M* at the critical condition point 868. Thereby, the enhanced de Laval-like jet-effect occurs downstream-behind the withers, providing that M*<M₈₅₄<M₈₅₅, where the indexes correspond to associated sliding air sub-portions. In this case, according to equation (6.13), shrinking portion 856, moving with a de Laval high M-velocity, is slowing down, becoming warmer and more compressed, as moving on the way to the critical condition point associated with cross-section 864. The de Laval-like retarding-effect occurs downstream-behind cross-section 864 resulting in portion 857 expanding and further slowing down, warming, and compressing while reaching cross-section 865. The M-velocities M₈₆₁, M₈₆₃, M₈₆₄, M₈₆₅, and M₈₆₈ satisfy the following conditions:

-   -   M₈₆₁<M₈₆₈ M*,     -   M₈₆₃>M₈₆₈ M*,     -   M₈₆₃>M₈₆₄ M*,     -   M₈₆₁<M₈₆₄=M*, and     -   M₈₆₅<M₈₆₄=M*.         So, in the final analysis, body 840 operates as a jet-booster,         triggering both the de Laval-like jet-effect and the de         Laval-like retarding-effect.

Fourthly, consider a case, when airfoil body 840's shape is optimized using the equation of principle (6.13), basing on an estimated linear size of cross-section 868, and when airfoil body 840 flies with a de Laval high M-velocity, i.e. higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}≈0.5345 Mach. According to equation (6.13), the de Laval-like retarding-effect occurs in the imaginary convergent-divergent tunnel formed by streamlines 842. Namely, shrinking air portions 852 are slowing down, becoming warmer and more compressed, as moving on the way to withers such that the M-velocity of the narrowest sliding sub-portions 853 reaches the specific M-velocity, i.e. M₈₆₈=M* at the critical condition point 868; and further, portions 854 continue to slow down while expanding downstream-behind the withers. Relatively slowly moving sliding sub-portions 855, now having a de Laval low M-velocity, join downstream-behind cross-section 863, thereby, providing for resulting shrinking portion 856 acceleration, accompanied by decrease of temperature and static pressure, while reaching again the specific M-velocity M* at the narrowest cross-section 864. The de Laval-like jet-effect occurs downstream-behind cross-section 864 resulting in expanding portion 857 further acceleration accompanied by a deeper decrease of temperature and static pressure on the way to cross-section 865. So, the M-velocities M₈₆₁, M₈₆₃, M₈₆₄, M₈₆₅, and M₈₆₈ satisfy the following conditions:

-   -   M₈₆₁>M₈₆₈ M*,     -   M₈₆₃<M₈₆₈=M*,     -   M₈₆₃<M₈₆₄=M*,     -   M₈₆₁>M₈₆₄=M*, and     -   M₈₆₅>M₈₆₄=M*.         Again, in the final analysis, body 840 operates as a         jet-booster, triggering both the de Laval-like retarding-effect         and the de Laval-like jet-effect.

In view of the foregoing description referring to FIGS. 6a, 7a, 7b, 7c, 8a and 8b , it will be evident to a person skilled in the art that:

-   -   a method for an airfoil body shape design, based on equation         (6.13) according to an exemplary embodiment of the present         invention, allows, modifying the overall geometry of the body,         to optimize efficiency of the enhanced jet-effect occurring         outside of the body;     -   the described convergent-divergent jet-nozzles can be applicable         to many apparatuses using mechanical and heat energy provided by         either a flowing gas or liquid;     -   triggering and controlling the desired de Laval-like jet-effect         can be provided by manipulating by the oncoming wind de Laval         M-velocity. As the M-velocity is temperature-dependent, one can         heat or cool air portions flowing within a specifically shaped         tunnel, in particular, in an imaginary tunnel around a flying         body;     -   reaching and controlling the desired de Laval-like jet-effect         can be provided by manipulating by the value of specific         M-velocity, depending on the generalized adiabatic         compressibility parameter γ. For example, one can inject a gas         composed of multi-atomic particles into a tunnel, in particular,         into an imaginary tunnel around a flying body. As well, it will         be evident to a person skilled in the art that, for example,         micro-flakes-of-snow could play a role of such multi-atomic         particles. Another technique to change the generalized adiabatic         compressibility parameter γ and thereby to control the specific         M-velocity is to ionize the flow, moving through the tunnel; and     -   the described convergent-divergent jet-nozzles can be applicable         to many apparatuses using mechanical and heat energy, provided         by flowing gas or liquid.

Two-Stage Operation of the Coanda-Jet-Effect

FIG. 8c is a schematic illustration of flying airfoil bodies 850 and 860, arranged such that the withers of airfoil bodies 860 follow downstream-behind the withers of body 850. For simplicity and without loss of reasoning, each airfoil body 850 and 860 has the shape of an elongated drop 840 described above with reference to FIG. 8b . All reference numerals 841, 861, 851, 862, 852, 868, 853, 842, and 854 are the same as described referring to FIG. 8 b.

Consider a case, when flying airfoil bodies 850 and 860 meet oncoming portion 851 with a de Laval high M-velocity M₈₅₁, higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}≈0.5345 Mach. According to equation (6.13), air sub-portions 852 are slowing down as constricting on the way to the withers of body 850, such that M-velocity of the narrowest sliding sub-portions 853 reach the specific M-velocity, i.e. M₈₅₃=M* at the critical condition point 868. The de Laval-like retarding-effect occurs downstream-behind the withers. It provides the condition M*>M₈₅₄, where index “854” corresponds to air sub-portions 854. So, airfoil bodies 860 meet oncoming sub-portions 854 flowing slower than with the specific M-velocity M*=√{square root over ((γ−1)/γ)}, but high sufficient to provide the critical condition near their [bodies 860's] withers. Again, according to equation (6.13), air sub-portions 859 have an M-velocity M₈₅₉ higher than the specific M-velocity M*. Thus, flying airfoil bodies 850 and 860 meet the upstream air portions, and leave the downstream air portions, flowing faster than with the specific M-velocity M*=√{square root over ((γ−1)/γ)}. Furthermore, a cumulative cross-section of air sub-portions 859, wider than cross-section 861 of oncoming portion 851, means that the M-velocity M₈₅₉ is higher than the high M-velocity M₈₅₁ of oncoming portion 851. In this case, the Coanda-jet-effect two-stage operation accelerates a portion of ambient airflow that originally moves faster than with the specific M-velocity M*. Thus, in contrast to the case when a body, having not-optimized shape, flies in air-environment with transonic, and/or supersonic, and/or hypersonic velocities, flying airfoil body 850, operating in tandem with each flying airfoil body 860, moving downstream behind the withers of airfoil body 850, results in a specific effect of acceleration and cooling air portion 851, oncoming faster than with the specific M-velocity M*. This is one other primary teaching of the present invention.

FIG. 8d is a schematic drawing of a flying wing 870 having a two-humped airfoil profile 871, constructed according to the principles of the present invention. The flying wing 870 comprises two withers: forward 872 and rear 873, separated by concavity 874. The flying M-velocity is higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)}≈0.5345 Mach.

An oncoming flow portion 875 runs at wing 870 and passes positions: 801, 802, 803, 804, 805, 806, 807, 808, and 809 sequentially with associated M-velocities: M₈₀₁, M₈₀₂, M₈₀₃, M₈₀₄, M₈₀₅, M₈₀₆, M₈₀₇, M₈₀₈, and M₈₀₉, correspondingly. The two-humped airfoil profile 871 provides for the Coanda-jet-effect two-stage operation: upstream-afore and downstream-after concavity 874. At position 801, flow portion 875, having the de Laval high M-velocity M₈₀₁, is yet to be subjected to the Coanda-jet-effect operation over wing 870's profiled surfaces. The two-humped airfoil profile 871 causes that the cross-sectional area of portion 875 is varying as portion 875 moves over wing 870. So, portion 875 shrinks at position 802 while upping over the forward part, has the first local minimum of cross-section area at position 803 above the forward withers 872, expands at position 804 while downing into concavity 874, reaches the local maximum of cross-section area at position 805 when passing concavity 874, shrinks again at position 806 on the way to the rear withers 873, gets the second local minimal value of cross-section area at position 807 above the rear withers, and expands at positions 808 and 809. According to equation (6.13), portion 875 is subjected to the de Laval-like jet-effect and the de Laval-like retarding-effect such that:

-   -   at position 802, the flow convergence is accompanied by the de         Laval-like retarding-effect resulting in compressing and warming         of flow portion 875 and a decrease of M-velocity, i.e.         M₈₀₁>M₈₀₂;     -   at position 803, the first critical condition point, where the         varying value of flow portion 875's cross-sectional area has the         first local minimum, provides for that the M-velocity of flow         portion 875 reaches the specific M-velocity M*, so,         M₈₀₁>M₈₀₂>M₈₀₃=M*, i.e. the critical condition of the de         Laval-like retarding-effect triggering is satisfied;     -   at position 804, the flow divergence is accompanied by further         compressing and warming of flow portion 875 and a decrease of         M-velocity lower than the specific M-velocity M*, i.e. M*>M₈₀₄;     -   at position 805 above concavity 874, the M-velocity M₈₀₅ is         minimal, thereby, providing the condition:

M ₈₀₁ >M ₈₀₂ >M ₈₀₃ =M*>M ₈₀₄ >M ₈₀₅;

-   -   at position 806, the flow convergence is accompanied by cooling         of flow portion 875, a decrease of static pressure, and an         increase of M-velocity, i.e. M₈₀₅<M₈₀₆;     -   at position 807, the second critical condition point, where the         varying value of the flow portion 875's cross-sectional area has         the second local minimum, is designed to provide for that the         M-velocity of flow portion 875 reaches the specific M-velocity         M*, i.e. the condition M₈₀₅<M₈₀₆<M₈₀₇=M* triggering the de         Laval-like jet-effect is satisfied; and so,     -   at positions 808 and 809, the flow divergence is accompanied by         further cooling of flow portion 875, a decrease of static         pressure, and an increase of M-velocity, i.e.         M₈₀₅<M₈₀₆<M₈₀₇=M<M₈₀₈<M₈₀₉.         Depending on profile 871, the M-velocity M₈₀₉ of flow portion         875 at downstream position 809, may exceed the high M-velocity         M₈₀₁ of flow portion 875 at upstream position 801, so, wing 870         may be used as a jet-booster based on the de Laval-like         jet-effect, operating at high velocities. In general, a use of a         two-humped airfoil profile of a wing flying with the de Laval         high M-velocities, in order to provide for the desired         jet-effect, is yet one of the teachings of the present         invention.

In view of the foregoing description referring to FIG. 8d , it will be evident to a person skilled in the art that the effect of high M-velocity acceleration by the Coanda-jet-effect two-stage operation is applicable, for example, to a high-speed aircraft design.

In view of the foregoing description referring to FIGS. 6h, 7d, 8c, and 8d , it will be evident to a person skilled in the art that, considering a body, flying in air-environment with transonic, and/or supersonic, and/or hypersonic velocities, i.e. with high M-velocities higher than the specific M-velocity M*=√{square root over ((γ−1)/γ)},

-   -   in contrast to a case, wherein a body having an arbitrary shape         is decelerating when air-fluxes, which flow nearby around the         body, become warmer and extra-warmed,     -   a specifically-shaped body, having a two-humped airfoil profile         providing for the two-stage operation of the Coanda-jet-effect,         is accelerating, and air-fluxes, which flow nearby around the         accelerating specifically-shaped body, become cooled and         extra-cooled.

Cascaded Jet-Boosters

FIG. 9a is a schematic illustration of a sequential cascade of in-line arranged airfoil bodies 9011, 9013, 9014, 9015, and 9016, each in the shape of an elongated drop, exposed to oncoming wind 900 having the ambient M-velocity substantially lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}. The shape of the elongated drops is optimized using the equation of principle (6.13), basing on specified thickness of a boundary layer over convex withers, as described hereinabove referring to FIGS. 8a and 8b . Points 9012 symbolize that the sequence of airfoil bodies may be much longer than shown. For simplicity, oncoming wind 900 is laminar. Trace a moving-small-portion 910 of ambient oncoming wind 900 passing positions 911, 9110, 912, 913, 9130, 914, 9140, 915, 9150, 916, 9160, and 917, considering a case when moving-small-portion 910 is subjected to the Coanda-jet-effect in an adiabatic process, defined by the partial pressure-“c” δP_(c), rather than affected by the skin-friction resistance, quantified by the difference (a_(w)−a−δa). Moving-small-portion 910 at position 911 is yet to be subjected to the Coanda-jet-effect operation. I.e. at least the forward airfoil body 9011 meets moving-small-portion 910 with M-velocity, lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, and so body 9011 operates as a jet-booster based on the Venturi effect occurring in the adiabatic process in an imaginary tunnel adjacent to body 9011, as described above with reference to FIG. 8b . Further, moving-small-portion 910 is subjected to a cascaded operation of the Coanda-jet-effect in the adiabatic process by in-line arranged airfoil bodies 9011, 9013, 9014, 9015, and 9016, each of which operates as an elemental jet-booster, while meeting moving-small-portion 910 with M-velocity, lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}. The cascaded operation of the Coanda-jet-effect results in aligning of the Brownian random motion of moving-small-portion 910's molecules with the surfaces of in-line arranged airfoil bodies 9011, 9013, 9014, 9015, and 9016, that is observed as an increase of the effective velocity of moving-small-portion 910, accompanied by moving-small-portion 910 temperature decrease, as moving-small-portion 910 sequentially passes positions 9110, 9130, 9140, 9150, and 9160, where flowing as ambient-adjoining convergent-divergent jetstreams. Thus, this results in an increase of moving-small-portion 910's kinetic energy at the expense of moving-small-portion 910's internal heat energy. Consider certain identical cross-sectional areas at positions 911, 912, 913, 914, 915, 916, and 917, marked by dashed ellipses, such that the Coanda-jet-effect operation influence is still perceptible within the marked areas. Considering flow velocities much lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, the effective velocity of flow crossing the marked areas at positions 911, 912, 913, 914, 915, 916, and 917 increases exponentially as the flow moves along the sequential cascade of in-line arranged airfoil bodies 9011-9016. For example, if the Coanda-jet-effect operation of each of airfoil bodies 9011-9016 in the adiabatic process provides an increase of the effective velocity of a flow portion, crossing the associated marked area, on 2%, then after 35 airfoil bodies 9011-9016 the effective velocity of the wind portion, crossing the marked area, is twice as high as the velocity of oncoming wind 900 yet to be subjected to the Coanda-jet-effect multi-stage cascaded operation. Consider a case, when the M-velocity M₉₁₃₀ of moving-small-portion 910, flowing as an ambient-adjoining convergent-divergent jetstream nearby the withers of airfoil body 9013, reaches the specific M-velocity M*=√{square root over ((γ−1)/γ)} at position 9130. Triggering of the de Laval-like jet-effect causes the M-velocity M₉₁₄ at position 914 to become higher than the specific M-velocity M*. The moving-small-portion 910 becomes cooled between positions 913 and 9130 and becomes extra-cooled between positions 9130 and 914. Running at airfoil body 9014, moving-small-portion 910 is subjected to the de Laval-like retarding-effect, such that the portion's M-velocity decreases down to the specific M-velocity M*=√{square root over ((γ−1)/γ)} at position 9140 nearby the withers of airfoil body 9014, and becomes lower than the specific M-velocity LM at position 915. The moving-small-portion 910 becomes warmer between positions 914 and 9140 and becomes extra-warmed between positions 9140 and 915. Then moving-small-portion 910 is subjected to the de Laval-like jet-effect and the M-velocity increases again. Thus, when the sequence of airfoil bodies 9011-9016 is sufficiently long, the effective M-velocity of moving-small-portion 910 reaches the value of the specific M-velocity M*=√{square root over ((γ−1)/γ)} nearby the withers of airfoil bodies and varies around the value between the airfoil bodies. This is yet one more of the teachings of the present invention.

In view of the foregoing description referring to FIG. 9a , it will be evident to a person skilled in the art that:

-   -   in a more general case, when oncoming wind 900 is turbulent,         such that moving-small-portion 910 comprises whirling groups of         molecules, the Coanda-jet-effect multi-stage cascaded operation         results in aligning also of the turbulent motion of the whirling         groups of molecules with the surfaces of in-line arranged         airfoil bodies 9011, 9013, 9014, 9015, and 9016, that is         observed as an increase of the effective velocity of         moving-small-portion 910, accompanied by moving-small-portion         910's inner turbulence decrease, as moving-small-portion 910,         flowing as ambient-adjoining convergent-divergent jetstreams         nearby around the withers of airfoil bodies 9011, 9013, 9014,         9015, and 9016, sequentially passes positions 9110, 9130, 9140,         9150, and 9160, correspondingly. Thus, this results in an         increase of moving-small-portion 910's kinetic energy also at         the expense of moving-small-portion 910's inner turbulent         energy;     -   the effect of M-velocity acceleration and stabilization by a         multi-stage cascaded operation of the Coanda-jet-effect thereby         reinforced multi-repeatedly is applicable, for example, to a         high-speed long-train design;     -   the effect of M-velocity stabilization is applicable, for         example, to a flying train-like object, in particular, supplied         with wings, which are not shown here, providing for a         lift-force; an arrangement of airfoil bodies 9011, 9013, 9014,         9015, and 9016 along a smoothly curved locus, instead of the         in-line arrangement, can be implemented; and     -   the stabilized temperature difference between the extra-cooled         airflow portions subjected to the triggered de Laval-like         jet-effect and the extra-warmed airflow portions subjected to         the triggered de Laval-like retarding-effect may be used to         power a Peltier-element operating as a thermoelectric generator         producing electricity.

Reference is now made again to prior art FIG. 9a , wherein now, all the in-line arranged airfoil bodies 9011, 9013, 9014, 9015, and 9016 are made from a conductive material, for simplicity, from a hypothetic super-conductor, wherein the sequence is exposed to electric flux 900. In view of the foregoing description referring to FIG. 1f , the inventor points out that the effective electric flux crossing the marked areas at positions 911, 912, 913, 914, 915, 916, and 917 is self-increasing exponentially as flowing along the sequential cascade of in-line arranged airfoil conductive bodies 9011-9016 due to the electromagnetic jet-effect.

FIG. 9b is a schematic illustration of a sequential multi-stage cascade of outer and nested airfoil rings 920, exposed to oncoming wind 921. Outer and nested airfoil rings 920 are formed by coiled-up walls having an actually-airfoil wing profile, similar, for example, to the profile of actually-airfoil wing 810, shown schematically in FIG. 8a . Thereby, outer and nested airfoil rings 920 have shapes of streamlined converging nozzles. The actually-airfoil wing profiles are optimized using the equation of principle (6.13), basing on specified thickness of a boundary layer over convex withers, as described hereinabove with the references to FIG. 8a . Points 929 symbolize that the sequence of outer and nested airfoil rings 920 may be much longer than shown. Airflow portions 922, flowing as ambient-adjoining convergent-divergent jetstreams, sliding outside of the sequential multi-stage cascade of outer rings 920, as well as wind portions 923, flowing and impacting inside of outer and nested airfoil rings 920, are subjected to the Coanda-jet-effect operation. Again, consider a case when airflow portions 922 and 923 are subjected to the Coanda-effect operation rather than to skin-friction resistance, thereby providing that each pair of outer and nested airfoil rings 920 operates as an elemental jet-booster. Airflow portions 922 and 923 join a cumulative outflow 924, wherein the Coanda-effect provides streamlines 925 forming an imaginary convergent-divergent nozzle downstream-behind the sequential multi-stage cascade of outer and nested airfoil rings 920. A sufficiently long multi-stage cascade of outer and nested airfoil rings 920 provides that the M-velocity of resulting cumulative outflow 924 reaches the specific M-velocity M*=√{square root over ((γ−1)/γ)} at the minimal cross-section 926 of the imaginary convergent-divergent nozzle and the de Laval-like jet-effect is triggered downstream-behind the minimal cross-section 926. Airflow portion 927 is expanded adiabatically; therefore, it is extra-cooled and extra-accelerated.

A prolonged multi-stage cascade of outer and nested airfoil rings 920 may enable the M-velocity of airflow portions 922 to reach the specific M-velocity M* nearby the withers of airfoil outer rings 920. In this case, airflow portions 922 become subjected to the de Laval-like jet-effect, such that the effective M-velocity of airflow portions 922 is stabilized, as described hereinbefore with reference to FIG. 9a , considering a sequential multi-stage cascade of in-line arranged airfoil bodies, each having the shape of an elongated drop.

FIG. 9c is a schematic illustration of a modified sequential multi-stage cascade of the outer and nested airfoil rings 920 of FIG. 9b into a pair of unbroken spirals shaped as the Archimedean screws 931 and 932 by helical coiling-up walls having airfoil profile 937, for example, similar to described above with reference to FIG. 8a . Airfoil profile 937, also shown separately above and to the left in an enlarged scale, is optimized using the equation of principle (6.13), basing on specified thickness of a boundary layer over convex withers, as described hereinabove with the reference to FIG. 8a . Oncoming airflow portion 933 is yet to be subjected to the Coanda-jet-effect operation. Both: the sliding outside air sub-portions 934 flowing around and the inside impacting air sub-portions 935 flowing through the pair of spirals 931 and 932, are subjected to the Coanda-jet-effect operation, resulting in a converging flow when convergent flow sub-portions 934 and 935 laminarly join a resulting cumulative outflow 936. I.e. a fragment [for instance, one coil] of the pair of spirals 931 and 932 operates as an elemental jet-booster, and a longer fragment of converging spirals 931 and 932 provides higher acceleration of the airflow. Again, the Coanda-jet-effect provides streamlines 930 forming an imaginary convergent-divergent jet-nozzle downstream-behind the airfoil construction.

Moreover, the two spirals 931 and 932 have opposite helical screwing rotations, namely: clockwise and inverse-clockwise, thereby providing a variable cross-sectional area of gaps between the walls of the two spirals 931 and 932. The variable cross-sectional area of the gaps provides a Venturi effect for velocities lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)} and the de Laval-like jet-effect for velocities providing for reaching the specific M-velocity M*=√{square root over ((γ−1)/γ)} at the critical condition point where the variable cross-sectional area of gaps becomes minimal. Sufficiently long converging spirals 931 and 932 provide acceleration of the airflow and stabilization of the effective velocity at the value of the specific M-velocity M*=√{square root over ((γ−1)/γ)} analogous to the cases described above with references to FIGS. 9a and 9 b.

In view of the foregoing description of FIGS. 9a, 9b, and 9c , it will be evident to a person skilled in the art that:

-   -   One can implement many alterations, re-combinations and         modifications of elemental jet-boosters, taught herein, without         departing from the spirit of the disclosure that can be         generalized as the following. A sufficiently long aggregation of         elemental jet-boosters provides acceleration of an airflow         portion, reaching the specific M-velocity M*=√{square root over         ((γ−1)/γ)}, thereby triggering alternating the de Laval-like         jet-effect and the de Laval-like retarding-effect, resulting in         a stable alternation of the airflow portion effective M-velocity         above and below the specific M-velocity M*=√{square root over         ((γ−1)/γ)} between the elemental jet-boosters;     -   and     -   The cumulative useful kinetic-power, including both: the         originally brought kinetic-power and the acquired kinetic-power,         provided by a multiplicity of elemental jet-boosters, aggregated         into an adiabatic converging system, depends on a quality and         quantity of the elemental jet-boosters and how the elemental         jet-boosters are arranged and exploited. Moreover, it will be         evident to a person skilled in the art that a sequential in-line         multi-stage cascading of the elemental jet-boosters has an         especial sense.

For example, consider an aggregation comprising N elemental jet-boosters exposed to an ambient flow and oriented such that each elemental jet-booster provides an increase of the effective velocity of the flow portion moving through a certain effective cross-sectional area, by a factor F, wherein F>1, and for simplicity and without loss of the explanation generality, consider a case of sufficiently low velocity of the ambient flow and assume that it is the same factor, independently of the elemental jet-boosters arrangement and exploitation. As well, for simplicity, consider the case, when the M-velocities of accelerated flow remain lower than the specific M-velocity M*=√{square root over ((γ−1)/γ)}, thereby, justifying neglecting the flow density change in further approximate estimations. As the kinetic-power of a flow portion moving through a certain cross-sectional area is directly-proportional to the cross-sectional area and proportional to the third power of the flow portion velocity, each elemental jet-booster, when operating separately, launches a jetstream having the solitary useful kinetic-power, indicated by W₁, proportional to the third power of the factor F, expressed by W₁=W₀×F³, where W₀ is the originally brought ambient useful kinetic-power associated with the effective cross-sectional area of one elemental jet-booster.

The solitary acquired kinetic-power ΔW₁ is defined by the difference between the solitary useful kinetic-power W₁ and the originally brought ambient useful kinetic-power W₀, namely, ΔW₁=W₀×(F³−1).

The aggregation, comprising N such elemental jet-boosters and thereby accelerating the flow portions, moving through N effective cross-sectional areas, results in the cumulative useful kinetic-power:

-   -   indicated by W_(parallel), equal to W_(parallel)=N×W₁=N×W₀×F³,         wherein the cumulatively acquired kinetic-power ΔW_(parallel) is         defined as:

ΔW _(parallel) =N×ΔW ₁ =N×W ₀×(F ³−1),

-   -   in the case, when the elemental jet-boosters operate         independently, that occurs,         -   if the elemental jet-boosters are arranged in parallel, or         -   if the elemental jet-boosters are arranged sequentially, but             operating in a not adiabatic process, allowing for the             solitary useful kinetic-power W₁ to be consumed in parallel             within or behind each elemental jet-booster and restored             afore each next elemental jet-booster;     -   or, alternatively,     -   indicated by W_(sequential), equal to         W_(sequential)=W₀×(F³)^(N), wherein the cumulatively acquired         kinetic-power ΔW_(sequential) is defined as:

ΔW _(sequential) =W ₀×[(F ³)^(N) −N],

-   -   in the case, when the elemental jet-boosters are arranged         sequentially operating in the adiabatic process, and the         consumption of the cumulative useful kinetic-power is allowed         behind the downstream-end of the last elemental jet-booster         only.         In an exemplary practical case, the effective velocity increase         factor equals F=1.097. Then the following conditions become         satisfied:     -   the condition W_(sequential)<W_(parallel) is satisfied for N≤8;     -   the condition W_(sequential)>W_(parallel) is satisfied for N≥9;     -   the condition W_(sequential)>2W_(parallel) is satisfied for         N≥13;     -   the condition W_(sequential)>3W_(parallel) is satisfied for         N≥15; and     -   the condition W_(sequential)>4W_(parallel) is satisfied for         N≥16.

In view of the foregoing description of FIGS. 9a, 9b, and 9c , one of the primary teachings is that an artificial wind can be used for a profitable harvesting of electricity. For example, one can:

-   -   use a big-front ventilator [or group of ventilators], having         50%-net-efficiency, i.e. consuming electric-power W_(consumed)         and creating an originally incoming artificial airflow, bringing         kinetic-power W_(income)=0.5×W_(consumed), wherein the         originally incoming artificial airflow has the front area         A_(income) of 4 times bigger than the effective cross-sectional         area of an elemental jet-booster and has the effective velocity         u_(income);     -   implement a sequential multi-stage cascade, comprising N=15         elemental jet-boosters, each of which is characterized by the         effective velocity increase factor F=1.097, such that altogether         making an outflowing artificial jetstream, having velocity         u_(jetstream)=u_(income)×F^(N) [F^(N)=1.097¹⁵≈4] and having the         resulting effective front cross-sectional area A_(jetstream),         decreased approximately 4 times relative to the area A_(income)         of originally incoming airflow         [A_(income)/A_(jetstream)=F^(N)≈4]. Thus, the outflowing         artificial jetstream brings the resulting useful kinetic-power         W_(jetstream), estimated as:         W_(jetstream)=[(u_(jetstream)/u_(income))×(A_(jetstream)/A_(income))]×W_(income),         i.e.         W_(jetstream)=[4³/4]×W_(income)=[16]×0.5×W_(consumed)=8×W_(consumed);         and     -   use a wind-turbine, producing electricity with         50%-net-efficiency, thereby, harvesting the useful         electric-power W_(useful) of 4 times higher than the consumed         electric-power W_(consumed), namely, W_(useful)         0.5×W_(jetstream)=0.5×(8×W_(consumed))=4×W_(consumed).         Wherein, the profit becomes greater than estimated, when the de         Laval-like jet-effect is triggered. Thereby, in view of the         foregoing description referring to FIGS. 9a, 9b, and 9c , it         will be evident to a person skilled in the art that a profitable         harvesting of electricity, using a jet-effect created by a         multi-stage cascaded operation of the Coanda-jet-effect thereby         reinforced multi-repeatedly, is feasible, for example, attaching         sequentially arranged elemental jet-boosters to a         sufficiently-long moving vehicle and using a wind-turbine,         arranged behind the downstream-end of the last elemental         jet-booster.

In view of the foregoing description referring to FIGS. 9a, 9b, and 9c , the inventor points out that, when reaching the stabilized effective velocity equal to the value of the specific M-velocity M*=√{square root over ((γ−1)/γ)}, the periodical local extra-acceleration and extra-retarding generate a forced extra-intensive elemental acoustic wave, wherein the distance between each two neighbor withers equals a half of wavelength of the forced extra-intensive elemental acoustic wave. Furthermore, the forced extra-intensive elemental acoustic waves are superposed in-phase thereby constituting the resulting extra-intensive acoustic wave as constructive interference. It will be evident to a person skilled in the art that the arrangement of airfoil bodies, either:

-   -   9011, 9013, 9014, 9015, and 9016 as shown in FIG. 9a ; or     -   a sequential multi-stage cascade of outer and nested airfoil         rings 920 as shown in FIG. 9b ; or     -   a pair of unbroken spirals shaped as the Archimedean screws 931         and 932 by helical coiling-up walls having airfoil profile 937,         as shown in FIG. 9 c,         subjected to the generalized jet-effect (namely, the         Coanda-jet-effect, the de Laval-like jet-effect, the de         Laval-like retarding effect, and the enhanced waving jet-effect)         and supplied by an acoustic detector capable of detection of the         resulting extra-intensive acoustic wave power, can play a role         of an electricity generator that, in the final analysis,         produces the electrical power at the expense of the warmth of         the air.

Kinetic Energy Accumulation, Conservation, and Use

FIG. 9d illustrates schematically a circulating system 940 comprising a multi-stage cascade of many [8 shown] airfoil bodies 941 submerged in a fluid and arranged circumferentially. The rotation is in the inverse-clockwise direction as indicated by curved arrow 942.

For simplicity, the shape and multi-stage cascading of airfoil bodies 941 are similar to the shape and multi-stage cascading of airfoil bodies 9011-9016 described above with reference to FIG. 9a , but now an asymmetry of shapes and attack angles of airfoil bodies 941 are such that the trajectories of flowing fluid portions 944 are aligned with the associated arc of circling.

The fluid sub-portions 943, flowing around airfoil bodies 941, are subjected to the Coanda-effect and skin-friction; wherein when flowing adjacent to the withers of airfoil bodies 941, fluid sub-portions 943 are subjected to a cross-sectional varying, performing ambient-adjoining convergent-divergent jetstreams. Consider a case, when flowing fluid sub-portions 943 are subjected to the Coanda-effect operation rather than affected by the skin-friction resistance, and are, thereby, accelerated in the clockwise direction, forming flowing fluid portions 944 between circulating airfoil bodies 941. I.e. airfoil bodies 941 operate as elemental jet-boosters, analogous to the operation of airfoil bodies 9011-9016 (FIG. 9a ).

The sequential operation of the Coanda-jet-effect results in fluid portion 944's velocity distribution within cross-sections 9440, wherein the distribution occurs at the expense of fluid portion 944's temperature decrease. The term “local velocity” refers to the velocity of a flowing fluid sub-portion relative to the nearest flying body 941. The local velocity is directed substantially along a local sagittal axis, associated with the nearest flying body 941.

The circulation creates a positive feedback loop, providing a cycling operation of the Coanda-jet-effect within an imaginary toroidal space having cross-sections 9440. The cycling operation of the Coanda-jet-effect results in further aligning of the Brownian random motion of fluid sub-portions 943 molecules with the profiles of airfoil bodies 941 that is observed as a further increase of the effective local velocity of circulating fluid sub-portions 943, accompanied by the fluid sub-portions 943 temperature further decrease. This provides further distribution of portions 944 local velocity and further acceleration of flowing fluid sub-portions 943 up to reaching the specific M-velocity M*=√{square root over ((γ−1)/γ)} in the narrowest cross-section near the withers. The reaching of the specific M-velocity M*=√{square root over ((γ−1)/γ)} triggers alternating both the de Laval-like jet-effect and the de Laval-like retarding-effect, similar to that described hereinbefore with reference to FIG. 9a . Thus, the M-velocities of sub-portions 943 become stabilized at the specific M-velocity M*=√{square root over ((γ−1)/γ)}, and M-velocities of flowing portions 944 alternate above and below the specific M-velocity M*=√{square root over ((γ−1)/γ)}. Thus, the stabilized circulation of portions 944 within the imaginary toroidal space, having cross-sections 9440, may be interpreted as a conservation of the flowing portions 944 kinetic energy within the imaginary toroidal space. The accumulated and conserved kinetic energy of flow, indicated by K_(acc), is equal to K_(acc)=0.5ρ_(eff)V_(tor)u_(eff) ², where ρ_(eff) is the effective density of circulating fluid, V_(tor) is the volume of the imaginary toroidal space, and u_(eff) is the effective local velocity of the circulating fluid, equal to u_(eff)=M*×u_(sound), where u_(sound) is the speed of sound in the fluid.

In view of the foregoing description of FIG. 9d , it will be evident to a person skilled in the art that:

-   -   a part of the accumulated kinetic energy K_(acc) of flow can be         consumed, for instance, in the form of a jetstream, outflowing         from the imaginary toroidal space, that is not shown here; and     -   an arisen lack of the consumed kinetic energy of flow can be         accumulated again up to the value K_(acc) by sucking fresh         portions of the surrounding fluid into the imaginary toroidal         space.         In view of the foregoing description of FIG. 9d , it will be         evident to a person skilled in the art that:     -   circulating multi-stage cascade 940 operates similarly to a long         in-line multi-stage cascade of many airfoil bodies 9011-9016         described hereinbefore with reference to FIGS. 9a, 9b, and 9c ,         but now fluid portions 944 move along a curved and closed         trajectory. Such an implementation of inverse circulation of         flow relative to the direction of bodies 941 s′ rotation is one         of the teachings of the present invention as well;     -   a fluid portion, circulating within the imaginary toroidal space         and having the local velocity, static pressure, temperature, and         density substantially distributed in cross-sections 9440, is         subjected to inter-diffusion with the contacting fluid portion         remained out of the imaginary toroidal space that results, in         particular, in a caloric exchange between the fluid portions;         and     -   a circulating multi-stage cascade of elemental jet-boosters may         function as a self-rotating warmth-to-motion engine.

FIG. 9e is a schematic top-view of a stationary circumferential arrangement of many [42 shown] elemental jet-boosters 950, thereby embodying a vortex-generator, constructed according to the principles of the present invention and exposed to natural ambient wind 951, bringing fresh air portions storing both:

-   -   the kinetic energy of flow [i.e. the kinetic energy the         directional laminar motion, or, in terms of the kinetic theory         of gas, the kinetic energy of the air molecules headway motion];     -   the kinetic energy of the Brownian random motion of air         molecules [i.e. the inner heat]; and, in a more general case,     -   the kinetic energy of whirling groups of air molecules [i.e. the         turbulent energy].

The center of the circle is marked by point 957. The elemental jet-boosters 950 have an effective height 9571 and the circumferential arrangement occupies a circle having effective overall diameter 9572. So, the circumferential arrangement overall shape is an imaginary cylinder having a base of effective overall diameter 9572 and a side of height 9571.

For simplicity, the shown shape and multi-stage cascading of elemental jet-boosters 950 are similar to the shape and multi-stage cascading of airfoil outer and nested airfoil rings 920 described hereinbefore with reference to FIG. 9b . The airflow portions 953, flowing through the inner space of elemental jet-boosters 950, and portions 955 and 956 flowing as ambient-adjoining convergent-divergent jetstreams nearby around elemental jet-boosters 950, are subjected to the Coanda-jet-effect operation and, thereby converge. The circumferential arrangement provides that some elemental jet-boosters 950 are oriented to natural ambient wind 951, such that they operate as converging-nozzles; and some other elemental jet-boosters 950 are oriented to natural ambient wind 951, such that they operate as divergent nozzles. This asymmetry of elemental jet-boosters 950 orientations causes the oncoming airflow front to be non-uniform in direction and therefore has a tendency to flow around a side of the arrangement, as schematically shown by arrows 952. Considering flow M-velocities much lower than the specific M-velocity M*=√{square root over ((y−1)/γ)}, the multiplicity of elemental jet-boosters 950 causes accelerated wind sub-portions at position 954 to have local velocities, substantially higher than the velocity of natural ambient wind 951. This results in a circulation of airflow portions 953, 955, and 956 within an imaginary toroidal space, having effective overall diameter 9572 and a cross-section, marked by dashed ellipse 9573 having a diameter corresponding to effective height 9571. Circulating airflow portions 953, 955, and 956, become subjected to the Coanda-jet-effect circulating operation in a positive feedback loop, resulting in further aligning of the Brownian random motion of air molecules with the airfoil surfaces of elemental jet-boosters 950 that is observed as an increase of the effective local velocity of circulating airflow portions 953, 955, and 956, accompanied by the airflow portions temperature decrease. In a more general case, when airflow portions 953, 955, and 956 have inner turbulence, i.e. airflow portions 953, 955 and 956 comprise whirling groups of molecules, the Coanda-jet-effect multi-stage cascaded operation results in aligning also of the turbulent motion of the whirling groups of molecules with the airfoil surfaces of elemental jet-boosters 950, that is observed as an increase of the effective local velocity of airflow portions 953, 955, and 956, accompanied by the airflow portions inner turbulence decrease, as the airflow portions move within the imaginary toroid, sequentially passing elemental jet-boosters 950. Thus, this results in an increase of airflow portions 953, 955, and 956 kinetic energy also at the expense of airflow portions 953, 955, and 956 inner turbulent energy. The effective local velocity increase continues until reaching the specific M-velocity M*=√{square root over ((γ−1)/γ)}. Then the effective local velocity is stabilized triggering alternating both the de Laval-like jet-effect and the de Laval-like retarding-effect, as described hereinbefore with references to FIGS. 9a and 9d . In particular, an even number of jet-boosters 950 provides that the circulating airflow local velocities become steady-stately distributed in space. The circulating portions become cooled and extra-cooled, where the de Laval-like jet-effect is triggered, and become warmer and extra-warmed, where the de Laval-like retarding-effect is triggered.

In view of the foregoing description of FIG. 9e , and referring to the description of FIG. 4, it will be evident to a person skilled in the art that:

-   -   Airflow portions 953, 955, and 956, circulating within the         imaginary toroidal space and having the local velocity, static         pressure, temperature, and density substantially distributed in         cross-sections 9573, are subjected to inter-diffusion with the         contacting airflow portions remained out of the imaginary         toroidal space. This results, in particular, in the caloric         exchange between the airflow portions;     -   The circumferential arrangement of many elemental jet-boosters         950 exposed to the natural ambient wind may function as a         warmth-to-vortex/tornado generator that can power a rotor of an         electricity generator;     -   The circumferential arrangement of many elemental jet-boosters         950 exposed to the natural ambient wind accumulates and         conserves the kinetic energy of flow K_(acc) independently of         the direction of horizontal wind, as well as independently of         any variation in the natural gusty wind direction, and         furthermore, independently of any variation of the natural gusty         wind non-zero velocity;     -   The stabilized temperature difference between the extra-cooled         airflow portions, subjected to the triggered de Laval-like         jet-effect, and the extra-warmed airflow portions, subjected to         the triggered de Laval-like retarding-effect, may be used to         power a Peltier-element operating as thermoelectric generator         producing electricity, while the consumed heat power is         restoring at the expense of the surrounding air caloric entering         the imaginary toroidal space;     -   The circumferential arrangement of many converging airfoil         bodies operating as elemental jet-boosters 950 exposed to         natural ambient humid wind can be used, for example, as an air         cooler triggering condensation of water-vapor into water-drops         that can be applied to water harvesting from humid air.         Furthermore, it will be evident to a person skilled in the art         that the condensation of water-vapor into water-drops is an         exothermic process resulting in that the stabilized circulation         of airflow has the stabilized temperature defined by the         so-called “dew-point temperature” corresponding to the humidity         of ambient wind; thus, the area, bordered by the         circumferentially arranged elemental jet-boosters, performs an         oasis of a stably-eddying windiness and refreshing coolness; and     -   In a more general case, the circumferential arrangement of many         converging airfoil bodies, operating as elemental jet-boosters         950 exposed to natural ambient wind 951, can enable rotations         around the vertical axis through point 957 and power a rotor of         an electricity generator. Alternatively, different arrangements         of wind-turbines can be adapted to use the fast rotations of         wind portions, again, while the consumed heat-power is restoring         at the expense of the surrounding air caloric entering the         imaginary toroidal space.

In view of the foregoing description referring to FIGS. 9a, 9b, 9c, 9d, and 9e , it will be evident to a person skilled in the art that:

-   -   one can configure many modifications of airfoil bodies operating         as elemental jet-boosters, providing flow acceleration due to a         multi-stage cascaded operation of the Coanda-jet-effect to reach         the specific M-velocity M*=√{square root over ((γ−1)/γ)} and,         thereby, to trigger the de Laval-like jet-effect arising; and     -   one can configure many modifications of elemental jet-boosters         arrangements along smoothly curved loci, instead of the         circumferential arrangement. The arrangement locus can be at         least one of a line, an arc, a spiral of Archimedes, an outer         helical outline of the Archimedean screw, a rounded contour, an         ellipse, and a circumference.

FIG. 9f is a schematic top-view of an adiabatic aerodynamic system 960, constructed according to the principles of the present invention, comprising:

-   -   the stationary circumferential arrangement of many elemental         jet-boosters 950, described above with reference to FIG. 9e         having the same reference numerals 951, 952, 953, 954, 955, 956,         957, 9571, 9572, and 9573; and     -   stationary airfoil wings 958, arranged within the mentioned         imaginary cylinder having the basis of effective overall         diameter 9572 and the side of height 9571.

Airflow portions 959 are entrapped and drawn by stably circulating adjacent airflow portions 956, and so are stable-circulating as well.

In one application, stationary airfoil wings 958 are configured and oriented to originate lift-forces under the influence of stable-circulating airflow portions 959.

Alternatively, the airfoil wings 958 have symmetrical airfoil shape relative to a horizontal plane, and thereby do not originate lift-forces, but result in reactive thrust-forces directed along local sagittal axes, associated with nearest airfoil wings 958, due to the jet-effect as described hereinbefore referring to FIG. 8b , thereby enabling airfoil wings 958 rotations around the vertical axis through point 957. Wherein, if airflow portions 959 are subjected to the Coanda-effect operation rather than affected by the skin-friction resistance, then airfoil wings 958 rotation is in the inverse-clockwise direction, i.e. against the direction of airflow portions 959 rotation. This phenomenon is one of the teachings of the present invention as well.

In view of the foregoing description referring to FIG. 9f , it will be evident to a person skilled in the art that the lift-force, acting on wings 958, is independent of the direction of horizontal natural ambient wind 951, as well as independent of any variation in the natural gusty wind direction, and furthermore, independent of any variation of the natural gusty wind non-zero velocity; and it will be evident to a person skilled in the art that the lift-force, acting on wings, can be controlled by the airfoil wings configuration, arrangement, and orientation. An implementation of an adiabatic aerodynamic system, having no moving parts and providing for a stable and predictable lift-force generated at the expense of ambient air heat energy, is also one of the teachings of the present invention.

In view of the foregoing description referring to FIGS. 9e and 9f , it will be evident to a person skilled in the art that, implementing an adiabatic aerodynamic system comprising a circumferential arrangement of many elemental jet-boosters, either a wide-front fluid flow or many fluid jetstreams, made artificially, can be used instead of the natural ambient wind.

In view of the foregoing description referring to FIG. 9f , it will be evident to a person skilled in the art that the principles, applied to the construction of adiabatic aerodynamic system 960, allow for a design of a flying-saucer. Wherein, in contrast to a principle of helicopter, where rotating wing-like blades interact with stationary air, here, stationary wings 958 interact with rotating airflow portions 959. As well, to provide a controlled maneuvering, adiabatic aerodynamic system 960 can be supplied with airfoil blades, similar to stationary wings 958, but having controllable degrees of freedom to be oriented asymmetrically relative to point 957, thereby, redirecting the stably circulating airflow portions out of the adiabatic aerodynamic system and allowing for a reactive push in any desired direction, as well as for stabilizing the flying-saucer position in atmosphere. Furthermore, in view of the foregoing description referring to FIG. 9f , it will be evident to a person skilled in the art that the energy, conserved in the form of the stable-circulating airflow portions kinetic energy, allows for a fast maneuvering of the flying-saucer.

In view of the foregoing description referring to FIG. 9f , it will be evident to a person skilled in the art that adiabatic aerodynamic system 960, exposed to natural humid wind, can be adapted for the humidity condensation, and thereby, water harvesting from humid air. To estimate an efficiency of the water condensation, consider a stationary circumferential arrangement of many elemental jet-boosters 950 exposed to natural ambient humid wind moving with velocity, indicated by u₅₅₁ u₉₅₁, and characterized by parameters of static pressure P₉₅₁, temperature T₉₅₁, density ρ₉₅₁, and relative humidity h₉₅₁, wherein in a normal exemplary case, the parameters are quantified as: u₉₅₁=10 m/sec, P₉₅₁=100 kPa, T₉₅₁=298 K, ρ₉₅₁=1.2 kg/m³, and h₉₅₁=60%. The values of P₉₅₁, T₉₅₁, ρ₉₅₁, and h₉₅₁, correspond to absolute humidity H₉₅₁=14 g/m³ and so-called “dew-point temperature”, equal to T_(dew)=289K for the case. Consider an exemplary implementable case, when the effective overall diameter 9572 is equal to D₉₅₇₂=20.3 m, and the stabilized air motion with effective M-velocity, indicated by M₉₅₇₃, equal to the specific M-velocity M*=√{square root over ((γ−1)/γ)}, is through cross-sections 9573, having the effective diameter, indicated by d₉₅₇₃, equal to 0.5m. The volume of the imaginary toroidal space, having the effective overall diameter D₉₅₇₂ and the cross-sectional diameter d₉₅₇₃, is equal to V_(tor)=π×D₉₅₇₂×0.25π×d₉₅₇₃≈12.5 m³, and the imaginary toroidal space bordering area, indicated by A_(tor), is equal to A_(tor)=πD₉₅₇₂×πd₉₅₇₃≈100 m². The imaginary toroidal space volume V_(tor) comprises potentially yet to be condensed water-vapor, having mass M_(V), equal to M_(V)=V_(tor)H₉₅₁≈175 g. The acquired kinetic energy of the circulating airflow, K_(acquired), is defined as K_(acquired)=0.5×V_(tor) [ρ_(eff)u_(eff) ²−ρ₉₅₁u₉₅₁ ²], where the effective local velocity u_(eff) of the airflow, circulating within the imaginary toroidal space, is quantified as u_(eff)=M₉₅₇₃×u_(sound)≈184 m/sec, and the effective density ρ_(eff) interrelates with the stabilized dew-point temperature T_(dew), according to the Clapeyron-Mendeleev gas state law for an adiabatic process. Namely,

$\rho_{eff} = {{\rho_{951}\left( \frac{T_{dew}}{T_{951}} \right)}^{\frac{1}{\gamma - 1}} \approx {1.2 \times \left( \frac{289}{298} \right)^{2.5}} \approx {1.1\mspace{14mu} {kg}\text{/}m^{3}}}$

Thereby, the acquired kinetic energy K_(acquired), is estimated approximately as

K _(acquired)=0.5×V _(tor)[ρ_(eff) u _(uff) ²−ρ₉₅₁ u ₉₅₁ ²]≈0.5×12.5×[1.1×184²−1.2×10²]≈232 kJ.

To reach the dew-point temperature making the air portion saturated with humidity, the circulating humid air portion of the volume V_(tor) must lose the internal heat energy, indicated by AU, estimated as:

ΔU=ρ _(eff) V _(tor) R(T ₉₅₁ −T _(dew))≈1.1×125×(8.31/0.0285)≈38 kJ.

The estimated value of the acquired kinetic energy K_(acquired) is much greater than the value of internal heat energy loss ΔU, so after reaching the dew-point temperature, the energy difference (K_(acquired)−ΔU) 194 kJ goes to trigger the water condensation process. Condensation of water at the dew-point temperature requires a reducing of the saturated humid air portion's heat energy per unit mass on the value Λ_(water)=2260 kJ/kg. Thereby, the estimated acquired kinetic energy of airflow K_(acquired) potentially may be accompanied by the condensed water amount of M_(water)=(K_(acquired)−ΔU)/Λ_(water)≈86 g. The value M_(water) is substantially lesser than the estimated above mass M_(V) of water-vapor that potentially could be condensed, so the water mass amount M_(water)≈86 g is actually feasible for condensation.

Further, a part of the circulating airflow can be permanently withdrawn in the form of outflowing jetstreams, for instance, under the influence of wings 958, arranged adjacent to the elemental jet-boosters 950 to redirect circulating airflow portions 959, resulting in drawing out air portions 956, 954, and 955 from the imaginary toroidal space. The outflowing jetstreams take away the acquired kinetic energy of circulating airflow K_(acquired). As the accumulated kinetic energy K_(acc) of the airflow, circulating within the imaginary toroidal space, has a tendency to stabilization, so, an arisen lack of the accumulated kinetic energy of airflow K_(acc), caused by the withdrawn of the acquired kinetic energy of airflow K_(acquired), has a tendency to be reacquired again by sucking fresh portions of the surrounding air into the imaginary toroidal space and further, by an acceleration of the sucked fresh portions, increasing the sucked fresh portions local velocity up to the stabilized effective local velocity u_(eff)=M*×u_(sound). The possible airflow discharge from and sucking into the imaginary toroidal space, indicated by Q_(fresh), is defined by the condition Q_(fresh)>A_(tor)u₉₅₁, as the ambient velocity u₉₅₁ is substantially lower than the expected airflow local velocities at the borders of the imaginary toroidal space. Thus, the condition of the possible airflow discharge Q_(fresh) is quantified as Q_(fresh)>1000 m³/sec. The possible airflow discharge Q_(fresh) is much greater than the airflow F₉₅₇₃ moving through cross-section 9573 of the imaginary toroidal space, estimated as F₉₅₇₃=0.25π×d₉₅₇₃ ²×u_(eff), and is sufficient to refresh the humid air in the imaginary toroidal space volume V_(tor) several times per second, indicated by N_(refresh), defined and estimated as N_(refresh)=Q_(fresh)/V_(tor)>80 sec⁻¹ N_(refresh)=Q_(fresh)/V_(tor)>80 sec⁻¹. The intensity of water condensate harvesting, indicated by F_(condensation), is defined by the feasible condensed water amount M_(water)≈86 g multiplied on the N_(refresh). Thus, the intensity of water condensate harvesting F_(condensation) is estimated as:

$F_{condensation} = {{N_{refresh} \times M_{water}} > {6.88\frac{kg}{\sec}} \approx {413\mspace{14mu} {kg}\text{/}{\min.}}}$

The estimated intensity of water harvesting F_(condensation) is at least of the same order of the value as a flux of water head discharging from a hose of a fire-extinguishing machine. Thereby, a stationary circumferential arrangement of many elemental jet-boosters 950 can be used for water harvesting from air for domestic and industrial needs, and, for example, attached to a helicopter, can be adapted for a fire-extinguishing.

In view of the foregoing description referring to FIG. 9f , it will be evident to a person skilled in the art that airfoil wings 958, exposed to stably-circulating airflow portions 959 and enabling rotations around the vertical axis through point 957, may power a rotor of an electricity generator. Alternatively, the stabilized temperature difference between the extra-cooled airflow portions, subjected to the triggered de Laval-like jet-effect, and the extra-warmed airflow portions, subjected to the triggered de Laval-like retarding-effect, may be used to power a Peltier-element operating as thermoelectric generator producing electricity, while the consumed heat power is restoring at the expense of the surrounding air caloric entering the imaginary toroidal space. Thus, the acquired kinetic energy of airflow K_(acquired), refreshed N_(refresh) times per second, may provide an acquired kinetic-power of airflow W_(acquired), defined as W_(acquired)=N_(refresh)×K_(acquired). Taking into the account the estimations made hereinabove, the possible acquired kinetic-power of airflow W_(acquired) is estimated as: W_(acquired)>18.56 MW. Thereby, a relatively compact stationary circumferential arrangement of many elemental jet-boosters 950 can be used for electrical power producing for domestic and industrial needs.

In view of the foregoing description referring to FIGS. 9a, 9b, 9c, 9d, 9e, and 9f , it will be evident to a person skilled in the art that the circumferential arrangement of many elemental jet-boosters exposed to moving seawater can be adapted for electricity harvesting from the seawater motion.

In view of the foregoing description referring to FIGS. 9e and 9f , it will be evident to a person skilled in the art that the circumferential arrangement of many converging airfoil bodies operating as elemental jet-boosters 950 exposed to either natural or artificial wind can be used, for example, as a wind tunnel in an aerodynamic laboratory, providing a stable spatial distribution of the wind velocities.

In view of the foregoing description referring to FIGS. 9d, 9e, and 9f , the inventor points out that, when the circumferential arrangement is regularly equidistant and when portions 955 and 956 are reaching the stabilized effective M-velocity equal to the value of the specific M-velocity M*=√{square root over ((γ−1)/γ)} near withers of the circumferentially arranged elemental jet-boosters 950, the periodical local extra-accelerations and extra-retarding generate a forced extra-intensive and in-phase superposed elemental acoustic waves, wherein the distance between each two neighbor withers equals a half of wavelength of the forced extra-intensive elemental acoustic wave.

The inventor points out that each of elemental jet-boosters 950 acts as a source of an extra-intensive peculiar shock-like acoustic wave characterized by the peculiar frequency and wavelength, while each pair of the neighbor elemental jet-boosters 950 acts as a source of the extra-intensive forced elemental acoustic wave characterized by the forced frequency and wavelength. The forced extra-intensive elemental acoustic waves are superposed in-phase thereby constituting the resulting extra-intensive acoustic wave as constructive interference with respect to the system of coordinates linked to the whirling flow portions.

It will be evident to a person skilled in the art that the circumferential arrangement of elemental jet-boosters 950, subjected to the generalized jet-effect (namely, the Coanda-jet-effect, the de Laval-like jet-effect, the de Laval-like retarding effect, and the enhanced waving jet-effect) and supplied by an acoustic detector capable of detection of the resulting extra-intensive acoustic wave power, can play a role of an electricity generator that, in the final analysis, produces the electrical power at the expense of the warmth of the air.

It will be evident to a person studied the present invention that the whirling of air portion with the effective M-velocity equal to the value of the specific M-velocity M*=√{square root over ((γ−1)/γ)} once becoming stabilized, continues self-supporting even in the absence of the circumferential arrangement of elemental jet-boosters 950. For instance, the well-known Great Red Spot of Jupiter is such a stabilized tornado. Furthermore, constructive interference of extra-intensive peculiar shock-like acoustic waves, characterized by the peculiar wavelength, can be observed as a regular polygon built-in into the stabilized whirling, where the side of the polygon is equal to the peculiar wavelength. For instance, the well-known Saturn's Hexagon is such a stabilized and stably whirling interference map.

Improved Wind-Turbine

FIG. 9g is a schematic drawing of modified improved wind-turbine 9.0, constructed according to the principles of the present invention to operate under relatively fast airflow 9.1 for producing the electrical power at the expense of the warmth of relatively fast airflow 9.1.

Modified improved wind-turbine 9.0 comprises:

-   -   axle 9.2 oriented along sagittal axis 9.21 codirected with fast         airflow 9.1,     -   identical asymmetrical biconvex actually-airfoil blades 9.3,         attached to axle 9.2; and     -   an engine [not shown here], capable of transforming the power of         the forced mechanic rotational motion 9.4 of axle 9.2 into the         electrical power.

The primary feature, making the modified wind-turbine 9.0 practically implementable and extremely efficient, is the specifically configured and so specifically functioning biconvex actually-airfoil blades 9.3. Namely, in contrast to standard wind-turbines having standardly shaped blades configured to be subjected to impacting by an incoming airflow that, in particular, results in the airflow turbulence, retarding, and warming, the modified improved wind-turbine 9.0 has asymmetrical biconvex wing-like actually-airfoil blades 9.3:

-   -   having opposite convex sides 9.31 and 9.32 with withers         differing in convexity and     -   being oriented along and so adapted to the incoming fast airflow         jetstream 9.11 headway motion.         Thereby configured and oriented blades provide the so-called         zero attack angle:     -   to exclude or at least to minimize the impact by the incoming         fast airflow jetstream 9.11, but     -   to provide an interaction with the fast airflow jetstream 9.11         by the Coanda-jet-effect only, thereby resulting in an         acceleration and cooling of outflowing jetstream 9.6 and         resulting in lift-forces, acting on identical biconvex         actually-airfoil blades 9.3 and being disbalanced because of the         aligned asymmetry of the identical biconvex airfoil blades.         In this case, the axle 9.2 rotational motion, shown by the         curved arrow having numeral 9.4, is caused by the cumulative         resulting lift-force. Take note again, that the         Coanda-jet-effect is triggered by the airflow kinetic-power and         is actually powered at the expense of the airflow warmth but not         at the expense of the incoming fast airflow jetstream 9.11         kinetic-power; contrariwise, the kinetic-power of outflowing         jetstream 9.6 is increased or at least not decreased with         respect to the oncoming fast airflow 9.1. Thus, in contrast to         the standard wind-turbines, the proposed improved wind-turbine         9.0 is specifically characterized:     -   by the mechanism of operation, that is the Coanda-jet-effect but         not the impact; and     -   by the power source of operation, that is the warmth but not the         kinetic power of airflow.

Also, in contrast to a kind of the standard wind-turbines having wing-like blades moving around a vertical axis, the proposed improved wind-turbine 9.0 is specifically characterized by the excluding of varying poorly-streamlined positions of the wing-like blades.

As well, in contrast to the standard wind-turbines, a productivity of the proposed improved wind-turbine 9.0 is defined by the area of the biconvex airfoil blades rather than by a so-called “swept area”, namely, the produced electrical power due to the Coanda-effect is specified as proportional to the biconvex airfoil blades area, i.e. the productivity can be increased substantially for a given swept area.

In view of the foregoing description referring to FIG. 9g , it will be evident to a person skilled in the art that modified improved wind-turbine 9.0 comprising:

-   -   the biconvex airfoil blades, having a wing-like sectional         contour with a longer so-called chord of wing, and/or     -   an increased quantity of the biconvex airfoil blades,         both circumstances provide for enforcing of the desired         Coanda-jet-effect. As well, it is self-suggested a sequential         in-line arrangement of a multiplicity of modified improved         wind-turbines 9.0 one downstream after another (optionally,         alternatingly differing in asymmetry to become forcedly rotated         alternatingly clockwise and inverse-clockwise, correspondingly),         each separately and all together efficiently operating within         the given swept area.

Moreover, at least one of the profiles 9.31 and 9.32 is implemented to provide the de Laval enhanced jet-effect, when the incoming fast airflow jetstream 9.11 is flowing with a de Laval M-velocity and so a portion of jetstream 9.11 is reaching the specific M-velocity nearby the withers of the asymmetrical biconvex actually-airfoil blades 9.3. In this case, the extra-efficiency of the modified improved wind-turbine is expected.

Furthermore, optionally, sides 9.31 and 9.32 differ in shape such that one of the sides has one convex withers and the opposite side has a two-humped airfoil profile providing for the two-stage operation of the Coanda-jet-effect as described hereinabove with the reference to FIG. 8d . Such asymmetrical blades, when exposed to oncoming fast airflow 9.1 moving with a high M-velocity, higher than the specific M-velocity, become subjected, on the one hand, to the de Laval retarding effect, and on the other hand, to the de Laval enhanced jet-effect. This provides for extra-increased lift-forces rotating axle 9.2. In this case, the extra-efficiency of the modified improved wind-turbine is expected in a wide range of velocities.

FIG. 9h is a schematic drawing comprising the side view and front view of an improved wind-turbine 9.7, constructed according to the principles of the present invention to operate under relatively fast airflow 9.70 for producing the electrical power at the expense of the warmth of relatively fast airflow 9.70. In relation to all the principal features, the improved wind-turbine 9.7 is similar to the improved wind-turbine 9.0, described hereinabove referring to FIG. 9g , but now, referring to the aforementioned optional diversity of the principal features implementation, the biconvex actually-airfoil blades, which having opposite at least partially convex sides 9.71 and 9.72 with withers differing in convexity, are further curved and screwed to optimize a suppression of turbulences as well as are cascaded one downstream after another to provide a multi-stage repeated operation of the Coanda-jet-effect thereby contributing to the desired cumulative lift-force to rotate axle 9.73.

In view of the foregoing description referring to FIGS. 9g and 9h , it will be evident to a person skilled in the art that modified improved wind-turbine 9.0 or 9.7, when attached to a flying aircraft, is capable for efficient harvesting of the electrical power from the ambient air warmth.

Furthermore, in view of the description expound hereinabove with references to FIGS. 5i, 5j, 5k, 9a, 9b, 9c, 9d, 9e, and 9f , the inventor points out that the mentioned multiplicity of modified improved wind-turbines 9.0 or 9.7, arranged sequentially one downstream after another [not shown here], results in generation of acoustic waves accompanied by extraction of the internal heat energy of ambient air in favor for the wave power due to the enhanced waving jet-effect. Thus, a system, comprising the arrangement and a detector of the acquired wave power, has an additional degree of freedom to increase the efficacy of the producing of electricity.

In view of the foregoing description referring to FIGS. 9g and 9h in combination with the foregoing description of subparagraphs “Point of Sail” and “Flying Bird”, both with the reference to prior art FIG. 1i , it will be evident to a person skilled in the art that the construction of modified improved wind-turbine 9.7, when having a controllable speed of the axle 9.73 rotation adapted to the velocity of oncoming airflow 9.70 to keep the airflow remaining laminar, provides a controllable net jet-thrust against the oncoming airflow 9.70 and so becomes applicable as a kind of jet-engine for a controllable and substantially noiseless flying.

A Jet-Transformer

FIG. 9i is a schematic illustration of a concept to transform the ambient warmth into electricity. The concept is embodied as a jet-transformer 9.80 comprising:

-   -   a vertically oriented specifically shaped pipe 9.81 having the         optimized convergent-divergent inner tunnel, described         hereinabove in sub-paragraph “Convergent-Divergent Jet-Nozzle”         with reference to FIG. 6 a,     -   at least one laminar flow maker 9.82, conceptually, having a         geometry of convex-concave corpus 9.821 supplied by a heater         9.822, i.e. being designed as the convex-concave corpus 512         described hereinabove with reference to FIG. 5e , and     -   at least one improved wind-turbine 9.83, designed as the         improved wind-turbine 9.7 described hereinabove referring to         FIG. 9 h,         the all, constructed according to the principles of the present         invention.

The specifically shaped pipe 9.81 is elevated above the ground to allow for the ambient air 9.841 entering the optimized convergent-divergent inner tunnel from below. The heater 9.822 supplies the heat energy to a fluid portion adjacent the focus of the parabolically-concave surface 9.823 of the convex-concave corpus 9.821, thereby, on the one hand, to trigger the Archimedes upward-vectored buoyant force lifting the heated fluid portion and, on the other hand, to align the airflow 9.842 upward along the vertical axis 9.851. The upward airflow 9.842 is relatively slow and substantially-laminar. The optimized convergent-divergent inner tunnel is designed according to the equation of principle (6.13) to provide for a substantial suppression of jumps of the air thermodynamic parameters and, thereby, to provide for the substantial acceleration of the airflow 9.842, laminarly and so noseless streaming upward. So, the heating triggers the upward motion of air, and, in turn, the fluid motion itself triggers the convective acceleration as the airflow moves through the narrowing cross-section of the optimized convergent-divergent inner tunnel.

Considering:

-   -   the ambient temperature above the exhaust 9.854 equal T_(e),     -   the temperature near the level 9.852 equal T₀, and     -   the temperature near the narrow throat 9.853 equal T*,         equation (7.1c), described hereinabove referring to FIG. 7a ,         says that:     -   on the one hand, to obtain the de Laval jet-effect for air         utilizing the optimized convergent-divergent inner, one must         provide the ratio T₀/T, at least of 1.2; and     -   on the other hand, to accelerate an air portion up to the         velocity of sound, one must provide the ratio T₀/T_(e) at least         of 1.7.

Hence, providing the heating of air near the level 9.852 up to about the temperature 234° C. only, the condition of the enhanced de Laval jet-effect becomes satisfied, in turn, providing that the relatively low heat power, supplied by heaters 9.822, triggers the enhanced de Laval jet-effect transforming the warmth of the moving airflow into the acquired kinetic power of the airflow.

The energy E₀, necessary for warming 1 cube meter of air from the temperature 25° C. up to the temperature 234° C., is estimated as E₀=ρVC_(V)(T₀−T_(e)), where V is the volume of 1 cube meter, ρ is the air density, ρ≈1.2 kg/m³, C_(V) is the air heat capacity, C_(V)≈0.72 kJ/(kg·K), thereby, E₀≈1.2×1×0.72×(234−25)≈180 kJ.

As the mentioned assumed condition allows to accelerate the airflow portion 9.854 up to the specific M-velocity M*=√{square root over ((γ−1)/γ)} near the narrow throat 9.853 and to accelerate the airflow portion 9.854 up to almost the speed of sound (i.e. the exhaust M-velocity is of M_(e)≈1), then:

-   -   the acquired kinetic energy, K_(e), of the outflowing airflow         portion 9.854, which (the acquired kinetic energy K_(e)) is         specified as the difference between bringing heat energies,         equals K_(e)≈n×(T₀−T_(e))×R, where n is number of moles in the         considered 1 cube meter of air, n≈44.64, and R is the specific         gas constant, approximated for the air by R=287 J/(kg·K), i.e.         K_(e) 44.64×209×287≈2,677 kJ, that, in turn, says that the         acquired kinetic energy K_(e) may exceed the consumed energy E₀         at least at subsonic velocities by the factor of 15; and     -   the acquired kinetic energy, K*, of the airflow portion 9.854,         when crossing the narrow throat, equals K*≈n×(T₀−T*)×R≈764 kJ,         thereby showing that the acquired kinetic energy K* may exceed         the consumed energy E₀ by the factor of 4.24.

It will be evident to a commonly educated person that, if not to use the optimized convergent-divergent inner tunnel, designed according to the equation of principle (6.13), the mentioned effective conversion of the airflow heat energy into the airflow kinetic energy is impossible because of originated turbulences and Mach waves, both accompanied by noise and energy dissipation back to the air warmth.

The improved wind-turbine 9.83 meets the upping laminar airflow and provides for a production of electricity neither retarding the upward airflow and nor distorting the upward airflow laminarity as described hereinabove referring to FIGS. 9g and 9h . The inventor points out again that the improved wind-turbine 9.83 harvests electrical power at the expense of the airflow warmth but not from the airflow kinetic power, wherein the increased kinetic power of the airflow plays the role of an enforced trigger of the lift-force rotating the improved wind-turbine. Moreover, optionally, in-line arranged several improved wind-turbines 9.83 provide for a multi-stage repeatedly harvesting of electricity from the same airflow portion.

Method for Computational Analysis

FIG. 10 is a schematic block-diagram 1000 of a method for computational fluid dynamics numerical analysis, based on the principles of the present invention.

Block 1010 represents standard pre-processing comprising a defining the calculation space and mesh for the space quantization.

Block 1020 represents the processing itself, i.e. the algorithm calculating numerically the spatial distribution of the velocity-vector (three components), static pressure, temperature, and density (total six components), programmed according to the principles of the present invention, and applying a computational analysis basic principle, comprising a digital approximation of a space, comprising the flowing fluid, by a virtual spatial mesh partitioned into non-overlapping quantization cells bordered by imaginary boundaries.

The processing is such that the calculated spatially distributed values are satisfied, on the one hand, to suggested modified equations of fluid motion (5.6), (5.7), (5.9) having an exact solution, and, on the other hand, to the gravitational, thermodynamic, and kinetic theory laws represented by specified equations (5.2), (5.3), (5.4), (5.5), and (5.8), wherein the adequacy of the solution is confirmed by the Bernoulli theorem, equation (5.10).

Block 1030 represents the standard post-processing procedure for the solution filing and visualization.

Thereby, one can implement blocks 1010, 1020, and 1030 as a computer program product comprising a computer usable medium having computer readable code and instructions embodied and stored therein for execution on a general purpose computer. The code and instructions, when executed by the computer, cause the computer to perform the method for computational fluid dynamics.

FIG. 11 comprises Table-1 showing several equations:

-   -   On the one hand, classical, derived from the Euler theory in         frames of the continuum mechanics and thermodynamics; and     -   On the other hand, specified in the present invention, derived         basing on the principles of the kinetic theory of matter.

The inventor points out that:

-   -   The difference between the expressions of the equations of fluid         motion: classical and specified, is predetermined by the         difference of definitions of the inner static pressure and         density. Namely, in the continuum mechanics, the static pressure         is defined as an integrated mechanical parameter characterizing         the force acting on a wall, wherein the static pressure and mass         density are inter-independent; and, in the present invention,         the interrelated inner static pressure and mass density, both         are defined from the point of view of the kinetic theory of         matter applied to molecular fluid;     -   The generalized adiabatic compressibility parameter, indicated         by γ, generalizes the adiabatic compressibility-constant,         indicated by j, by taking into the consideration that the         adiabatic compressibility properties are predetermined by both:         the adiabatic compressibility-constant and the van der Waals         constants;     -   The equation of principle (6.13) differs from the classical         equation (1) derived basing on the Euler equation defined in         frames of the continuum mechanics; and     -   The specific M-velocity M*=√{square root over ((γ−1)/γ)} differs         from the M-velocity of 1 Mach, which plays the role of the         specific M-velocity in the classical aerodynamic theory of the         de Laval nozzle.

The method, based on the kinetic theory of matter, provides the modified equations of fluid motion, thereby, reducing a sense of one of the Millennium Goals to solve the problem of the Navier-Stokes equation solution existence.

Considering a fluid as a substance composed of randomly moving molecules, the method enables applications optimization, the physical essence of which is to bring in an asymmetrical influence into the molecular fluid, and, thereby, to originate a motion of molecules in a prevalent direction. For instance, such an asymmetry is provided by a structured and heated surface thereby repelling the molecular fluid in a prevalent direction, or by a structured naturally hydrophobic surface contacting with water, or by a structured and electrically charged surface interacting with an ionized fluid, or by an airfoil body moving relative to the molecular fluid and thereby acting on the molecular fluid by the Coanda-effect.

The method enables optimized designs of apparatuses for electricity harvesting from the molecular fluid heat energy, providing a positive net-efficiency. The method, accompanied by novel teachings, allows for optimized designs of engines having novel functionalities, for examples, such as:

-   -   Fluid-repellent jet-gears, described with references to FIGS.         5d, 5e, 5f, 5g, 5h, 5i, 5j, and 5k , which, when submerged in         ambient fluid, originate a circulating and/or headway         self-motion at the expense of the ambient fluid warmth; as well,         creating a controllable omniphobic repellency using heating         elements, one can originate a fluid-repellent jet-gear motion         with a high net-efficiency, even higher than 100%, again, at the         expense of the ambient fluid warmth;     -   An ice-maker comprising either hydrophobic jet-gears and         comprising a generator, in the final analysis, transforming the         heat into electricity, and thereby cooling and freezing water         and so harvesting potable water (i.e. ice), as described with         references to FIG. 5 g;     -   A capillary tube having inner saw-like hydrophobic walls,         described with reference to FIG. 5d , which, when filled with         water, provides the water transportation;     -   Referring to FIG. 5i comprising a spiral, having a form of the         Archimedean screw and having a hydrophobic surface, a mechanism,         synthesizing a natural protein, or more fundamentally, of         ribonucleic acid (RNA) molecules, hypothetically, can be         specified and implemented artificially;     -   An electrically charged propeller-like jet-gear, described with         references to FIG. 5h , which, when submerged in an ionized gas         or liquid, provides a motion of the jet-gear at the expense of         the ionized fluid's warmth;     -   A motionless gravity-jet engine, described with references to         FIG. 5m , which, when operating in the gravitational field, is         capable of a transformation of water heat energy into the         kinetic energy of water jetstream moving upward, which, when         becomes reincarnated into a waterfall, allows for the         electricity harvesting and wherein reverting a falling water         portion back into a container;     -   A generalized generator for producing a useful-beneficial power,         described with reference to FIG. 5l , which,         -   when concretized as a fluid flow accelerator, provides for             the useful-beneficial power harvesting from the fluid warmth             in an adiabatic process due to the Coanda-jet-effect; and         -   when concretized as a waves synchronizer, provides for the             useful-beneficial power harvesting using constructive             interference due to the waving jet-effect;     -   An optimized convergent-divergent tunnel, described with         reference to FIG. 6a , which, when triggering the de Laval         enhanced jet-effect, provides conditions to acquire a kinetic         power and/or to harvest electricity from air warmth with a         positive net-efficiency;     -   A two-stage convergent-divergent jet-nozzle described with         reference to FIG. 6h , which, when exposed to transonic and/or         supersonic and/or hypersonic flow, in contrast to the known         phenomenon of the incoming flow warming and retarding, provides         the incoming flow cooling and acceleration;     -   An airfoil flying capsule having an optimized single-stage or         two-stage convergent-divergent tunnel, which, when moving in         air, is capable of transforming the air warmness into a useful         jet-thrust;     -   An improved propeller, preferably composed of many small         propellers distributed in space, which focuses and/or defocuses         sub-portions of air, thereby forming a cumulative blowing and/or         sucking jetstream, correspondingly, wherein the jetstream has an         optimally-variable cross-section providing for the critical         condition, triggering the de Laval-like enhanced jet-effect;     -   An improved wind-turbine configured:         -   to exclude or at least to minimize the impact by incoming             airflow, but         -   to trigger at least one of the Coanda-effect and the de             Laval enhanced jet-effect, both having the jet-effect             nature, and, in the final analysis,         -   to produce the electrical power at the expense of the             airflow warmth but not at the expense of the airflow             kinetic-power;     -   and     -   An adiabatic aerodynamic system described with reference to         FIGS. 9e and 9f , comprising a stationary circumferential         arrangement of many elemental jet-boosters, that is capable of         acquiring the kinetic energy of circulating airflow at the         expense of the ambient air heat energy, further, to accumulate         and conserve the airflow kinetic energy in a form of         stably-circulating airflow. Wherein the adiabatic aerodynamic         system, exposed to the natural ambient wind, accumulates and         conserves the kinetic energy of the stably-circulating airflow         independently of weather conditions, namely, independently of         the direction of horizontal wind, as well as independently of         any variation in the natural gusty wind direction, and         furthermore, independently of any variation of the natural gusty         wind non-zero velocity. This provides at least the following         novel applications:         -   The adiabatic aerodynamic system can operate as             vortex-generator of an electro-station, providing for             electrical power harvesting from the warmth of natural air.             Furthermore, it is found that the adiabatic aerodynamic             system exposed to an artificial wind, made by consuming             either a power of burned fuel or an electrical power, under             certain conditions, can convectively accelerate the wind at             the expense of the airflow warmth thereby providing an             acquired kinetic power of airflow being higher than the             power consumed for the making of artificial wind;         -   The adiabatic aerodynamic system can be used as engine,             powering a flying-saucer of high mobility, wherein, in             contrast to a principle of helicopter where rotating             wing-like blades interact with stationary air, here, just             stationary wings of the flying-saucer interact with the             stably-circulating airflow;         -   The adiabatic aerodynamic system can be adapted for a             condensation of natural air humidity, wherein, considering a             relatively compact adiabatic aerodynamic system, an             estimated intensity of the water harvesting is at least of             the same order of the value as a flux of water head             discharging from a hose of a fire-extinguishing machine; and         -   The adiabatic aerodynamic system, made in large-scale, can             be used as a windbreak of an oasis of a stably-eddying             windiness and refreshing coolness.

The method enables a technology to control the transformation of the ambient surroundings (for instance, air and/or water) warmth into a directional motion of the fluid providing for a renewable cycle, comprising:

-   -   transformation of the flowing fluid heat-power into acquired         kinetic-power of an originated jetstream;     -   conversion of the jetstream kinetic-power into useful         electric-power; and     -   consumption of the electric-power, in the final analysis,         inevitably dissipating back into the warmth of surrounding         matter.

The method, accompanied by novel teachings, allows for a proper analysis of waves as a process of an interaction between an oscillator, supplying power to the ambient medium, and the ambient medium itself; wherein the process is accompanied by an adiabatic process of the waves propagation and interference.

The method enables optimized designs of controllable apparatuses having novel functionalities for a useful-beneficial power harvesting (for instance, a harvesting of electricity from the molecular fluid heat energy using constructive interference of energetically inter-independent acoustic waves). Furthermore, applications, providing for a use of constructive interference of acoustic waves, are hypothetically translatable to applications, providing for a use of constructive interference of electromagnetic waves.

DRAWINGS

It should be understood that the sketched exemplary embodiments are merely for purposes of illustrating the teachings of the present invention and should in no way be used to unnecessarily narrow the interpretation of, or be construed as, being exclusively definitive of the scope of the claims which follow.

It is anticipated that one of skill in the art will make many alterations, re-combinations, and modifications of the embodiments taught herein without departing from the spirit and scope of the claims. 

I claim:
 1. A method for computational fluid dynamics; said method for computational fluid dynamics comprising a computational analysis basic principle, providing for a digital approximation of a space by a virtual spatial mesh partitioned into non-overlapping quantization cells, thereby each said non-overlapping quantization cell occupies a volume bordered by imaginary boundaries; wherein said space is filled with a fluid matter composed of moving and inter-acting molecules, wherein motion of the molecules comprises two components: the Brownian random motion and a motion in a prevalent direction; wherein a set of interrelated terms being defined as follows: (a) a molecular fluid is defined as said fluid matter composed of moving and inter-acting molecules; (b) a small portion is defined as a portion of said molecular fluid occupying said non-overlapping quantization cell; (c) an excluded volume is defined as a volume, excluded by presence of molecules in the van der Waals theory of said molecular fluid; (d) a stationary wall is defined as a stationary impermeable surface; (e) wall-fluid molecular interaction van der Waals forces are defined as molecular inter-attraction forces between said stationary wall and fluid matter molecules, wherein said wall-fluid molecular interaction van der Waals forces being at least one of phobic-repulsive forces, directed inward said small portion, inert to the molecules of said fluid matter, and sticking attractive forces, directed outward said small portion; (f) an inert wall is defined as a kind of said stationary wall being hypothetically inert to said fluid matter molecules; (g) a stationary body corpus is defined as a space-portion bordered by said stationary walls; (h) a flow is defined as a motion of said molecular fluid, wherein the flow is characterized by the following spatially distributed parameters: three components of velocity-vector, indicated by u, related to the molecules motion in the prevalent direction and defined as a velocity-vector of said small portion motion relative to said stationary body corpus; wherein the absolute value of said velocity-vector u equals u, and, when measured in Mach numbers, equals M; absolute temperature, indicated by T, defined by the molecules Brownian random motion, according to the kinetic theory of matter, as a measure proportional to the average molecular kinetic energy of said fluid matter molecules Brownian random motion, inner-static-pressure, indicated by P_(in), defined as a measure of a cumulative impact effect caused by of said fluid matter molecules Brownian random motion, according to the kinetic theory of matter, and density, indicated by ρ, defined as a measure of concentration and mass of said fluid matter molecules, according to the kinetic theory of matter, said density equal to said molecular fluid mass per unit volume; (i) a steady-state flow is defined as the flow characterized by said spatially distributed parameters being constant in time; (j) a hypothetical ideal gas is defined, according to the kinetic theory of matter, as said molecular fluid such that inter-molecular forces are negligible and said excluded volume is inessential; (k) a stationary-small-portion is defined as said small portion, being static relative to said stationary body corpus; (l) a moving-small-portion is defined as said small portion, moving with the velocity-vector u relative to at least one of said stationary body corpus and the zero average Brownian distributed velocity of said fluid matter molecules; (m) static pressure of said hypothetical ideal gas, indicated by P_(ideal), is defined as a measure of said hypothetical ideal gas's molecules cumulative impact on said inert wall of a stationary container, wherein the static pressure of said hypothetical ideal gas P_(ideal) is quantified by the Clapeyron-Mendeleev gas law as equal to P _(ideal)=ρ_(i) R ₀ T _(i)/μ_(i), where ρ_(i) is the density of said hypothetical ideal gas, T_(i) is the absolute temperature of said hypothetical ideal gas, R₀ is the universal gas constant, and μ_(i) is the molar mass of said hypothetical ideal gas; (n) the van der Waals static pressure of said molecular fluid, indicated by P_(waals), is defined as a measure of said fluid matter molecules cumulative impact on said inert wall of a stationary container, wherein the van der Waals static pressure is quantified by the van der Waals equation of state for said molecular fluid, namely: (P _(waals) +a/V _(s) ²)=ρ_(s) r _(s) R ₀ T _(s)/μ_(s), where R₀ is the universal gas constant, and a, r_(s), ρ_(s), V_(s), μ_(s), and T_(s) are parameters characterizing matter and state of said stationary-small-portion of said molecular fluid, namely: ρ_(s) is the density, T_(s) is the absolute temperature, μ_(s) is the molar mass, V_(s) is the volume, a is the van der Waals parameter defining said molecular fluid's inter-molecular forces; and r_(s) is the compression ratio of said molecular fluid, wherein r_(s) equals V_(s)/(V_(s)−b), where b is the van der Waals parameter quantifying said excluded volume;  wherein the van der Waals equation of state for said molecular fluid is defined in a wider sense, allowing for the van der Waals parameters a and b to be variable; (o) inner-stationary-static-pressure of said molecular fluid, indicated by P_(s), is defined as a measure of said fluid matter molecules cumulative stationary-impact on said non-overlapping quantization cell's imaginary boundaries associated with said stationary-small-portion, and wherein the van der Waals equation of state for said molecular fluid, written in a form expressing said inner-stationary-static-pressure, is: P _(s)=(P _(Waals) +a/V _(s) ²)=ρ_(s) R _(s) T _(s)=ρ_(s) Q _(s), where R_(s) and Q_(s) are parameters characterizing the matter and state of said stationary-small-portion of said molecular fluid, namely: R_(s) is the specific fluid constant equal to R_(s)=r_(s)R₀/μ_(s), and Q_(s) is the characteristic heat portion per unit mass, stored in said molecular fluid's molecular Brownian random motion related to degrees of freedom causing said fluid matter molecules cumulative stationary-impact and quantified as Q_(s)=R_(s)T_(s); (p) a stationary-effect is defined as an effect of interrelating the parameters: P_(s), a, b, r_(s), ρ_(s), V_(s), μ_(s), R_(s), T_(s), and Q_(s) according to the van der Waals equation of state for said molecular fluid, namely: P _(s)=(P _(Waals) +a/V _(s) ²)=ρ_(s) R _(s) T _(s)=ρ_(s) Q _(s): (q) a stagnation-impact-effect is defined as an effect, related to said moving-small-portion flowing in a boundary layer adjacent to said stationary wall and being stagnated, and is defined as a cumulative impact of said fluid matter molecules on said non-overlapping quantization cell's imaginary boundaries, associated with said moving-small-portion flowing in the boundary layer; wherein said stagnation-impact-effect arises in addition to said stationary-effect and is characterized by a changed volume of said moving-small-portion and so by a changed compression ratio, indicated by r, associated with said moving-small-portion and quantified as r=V/(V−b), where V is the volume of said moving-small-portion being stagnated, and b is the van der Waals parameter quantifying said excluded volume associated with said moving-small-portion being stagnated; and  wherein partial stagnation pressure-“b”, indicated by δP_(b), is defined as a measure of said stagnation-impact-effect, wherein the compression ratio r, associated with said moving-small-portion being stagnated, differs from the compression ratio r_(s), associated with said stationary-small-portion, so that providing for the conditions r=r_(s) and δP_(b)=0 being interrelated; and wherein a generalized specific fluid constant, indicated by R, is related to said moving-small-portion and defined as equal to R=rR₀/μ, where μ, identical with μ_(s), is the molar mass of said molecular fluid; (r) a deep-stagnation-effect of an arisen inter-molecular stress is defined as an effect, related to said moving-small-portion flowing in a boundary layer adjacent to said stationary wall and being deeply-stagnated; wherein said deep-stagnation-effect arising in addition to said stationary-effect and said stagnation-impact-effect; and wherein said deep-stagnation-effect being characterized by the van der Waals parameter variation δa relative to the van der Waals parameter a associated with said stationary-small-portion yet to be subjected to said deep-stagnation-effect; wherein the variation δa quantifying a potential energy stored in the arisen inter-molecular stress, so that a change of potential-energy-per-unit-mass, indicated by δU, of said molecular fluid, stored in the inter-molecular stress arisen due to said deep-stagnation-effect, is equal to ρδa/V²; and  wherein the partial deep-stagnation pressure-“a”, indicated by δP_(a), is defined as a measure of said deep-stagnation-effect and quantified as equal to δa/V², such that the partial deep-stagnation pressure-“a” δP_(a) and the potential-energy-per-unit-mass δU of the arisen inter-molecular stress are interrelated as δU=δP_(a)/ρ; wherein said moving-small-portion being stagnated and being further subjected to said deep-stagnation-effect and thereby being deeply-stagnated; (s) the Coanda-effect is defined as a tendency of said moving-small-portion to be attracted to and aligned with a curvature of a nearby fragment of said stationary wall, the tendency being accompanied by a cumulative aligning-impact of said fluid matter molecules on said non-overlapping quantization cell's imaginary boundaries, associated with said moving-small-portion flowing in a boundary layer adjacent to said stationary wall in alignment with the curvature of the nearby fragment of said stationary wall, and  wherein partial pressure-“c”, indicated by δP_(c), is defined as a measure of the Coanda-effect cumulative aligning-impact of said fluid matter molecules on said non-overlapping quantization cell's imaginary boundaries; (t) a drag-effect is defined as an effect of an asymmetrical disbalanced impact of molecules moving randomly and in a prevalent direction, wherein said drag-effect is a cumulative effect comprising both: said stagnation-impact-effect providing for the partial stagnation pressure-“b” δP_(b), said deep-stagnation-effect providing for the partial stagnation pressure-“a” δP_(a), and the Coanda-effect providing for the partial pressure-“c” δP_(c),  wherein partial drag-static-pressure, indicated by P_(drag), is defined as a measure of said drag-effect, the partial drag-static-pressure P_(drag), acting on said moving-small-portion, is quantified as equal to the sum of three items, as expressed by: P_(drag)=δP_(a)+δP_(b)+δP_(c); (u) a skin-friction effect, in general, is defined as an influence of said stationary wall on said moving-small-portion; said influence arising in a boundary layer adjacent to said stationary wall, and more specifically, said skin-friction effect is defined as an effect of said molecular fluid molecules sticking to said stationary wall, wherein said skin-friction effect resulting in a specific spatial distribution of velocities of said moving-small-portions flowing in said boundary layer adjacent to said stationary wall, and  wherein partial skin-friction static-pressure, indicated by P_(skin), acting on said moving-small-portion is defined as a measure of said wall-fluid molecular interaction forces cumulative action specifying, how much said stationary wall is sticky for said molecular fluid motion providing said skin-friction effect; wherein the partial skin-friction static-pressure P_(skin) is defined as proportional to the difference (a_(w)−a−δa), where a_(w) is a parameter defined as the van der Waals parameter a, but related to said wall-fluid molecular interaction forces thereby providing for at least one of: the conditions (a_(w)−a−δa)=0 and P_(skin)=0 being interrelated, corresponding to a free-slip condition for said molecular fluid contacting with said stationary wall, the condition (a_(w)−a−δa)>0 corresponding to said wall-fluid molecular interaction forces cumulative action against said moving-small-portion's motion direction accompanied by a dissipation of said moving-small-portion's kinetic energy into said moving-small-portion's heat energy, and the condition (a_(w)−a−δa)<0 corresponding to said wall-fluid molecular interaction forces cumulative action, repelling said moving-small-portion from said stationary wall by said phobic-repulsing forces accompanied by a positive acceleration of said moving-small-portion at the expense of said moving-small-portion's heat energy; (v) an osmotic-like effect is defined as an effect of exchange of matter and heat between said moving-small-portions, which have a common boundary and differ in at least one of density and temperature, and wherein partial osmotic-like static-pressure, indicated by P_(osmotic), acting on said moving-small-portion, is defined as a measure of said osmotic-like effect; (w) an effect of viscosity is defined as a cumulative effect comprising said skin-friction effect and said osmotic-like effect, and  wherein partial viscous-static-pressure, indicated by P_(viscous), acting on said moving-small-portion, is defined as equal to the sum of two items, as expressed by: P_(viscous)=P_(skin)+P_(osmotic); (x) a generalized adiabatic compressibility parameter, indicated by y, is defined for said molecular fluid as $\left\{ {\begin{matrix} {\gamma = j} & {{{for}\mspace{14mu} {hypothetical}\mspace{14mu} {ideal}\mspace{14mu} {gases}}\mspace{124mu}} \\ {\gamma = {1 + {r\left( {j - 1} \right)}}} & {{{for}\mspace{14mu} {real}\mspace{14mu} {gases}}\mspace{281mu}} \\ {\gamma\operatorname{>>}1} & {{{for}\mspace{14mu} {real}\mspace{14mu} {liquids}\mspace{14mu} {and}\mspace{14mu} {plasma}}\mspace{130mu}} \\ \left. \gamma\rightarrow\infty \right. & {{for}\mspace{14mu} {hypothetical}\mspace{14mu} {incompressible}\mspace{14mu} {liquids}} \end{matrix},} \right.$  where j is an adiabatic compressibility-constant defined for said molecular fluid imagined as said hypothetical ideal gas, wherein the adiabatic compressibility-constant j is quantified as j=1+2/f, where f is the number of degrees of freedom per said molecule of said molecular fluid; and (y) said cumulative impact effect,  characterized by the inner-static-pressure P_(in), is further specified as comprising: said stationary-effect, said drag-effect, and said effect of viscosity,  and the inner-static-pressure P_(in) is further defined as expressed by: P _(in) =P _(s) +P _(drag) +P _(viscous),  and wherein the inner-static-pressure P_(in) interrelates with thermodynamic characteristics of said molecular fluid moving-small-portion by the equation P_(in)=ρQ=ρRT, where Q is the characteristic heat portion per unit mass stored in said molecular fluid's molecular Brownian random motion related to degrees of freedom causing said fluid matter molecules cumulative impact effect acting on said imaginary boundaries of said moving-small-portion; (z) a steady-state acoustic wave in fluid is defined as a steady-state oscillating motion of said moving-small-portion accompanied by a travel of a portion of energy in a prevalent direction; wherein said method for computational fluid dynamics, providing a numerical analysis and estimation of said spatially distributed parameters, namely: the three components of the velocity-vector u, the temperature T, the density ρ, and the inner-static-pressure P_(in) of said molecular fluid; said numerical analysis comprising equations applied to each said small portion of said molecular fluid, as follows: a generalized vector equation of momentum conservation specified as: ${\frac{\partial}{\partial t}u} = {{- {\nabla({uu})}} - {\nabla Q}}$  where ∇ is the vector differential operator, and ∂/∂t is the time derivative operator; an equation of mass conservation specified as: ${{{\frac{\partial}{\partial t}\rho} + {\nabla{\cdot \left( {\rho \; u} \right)}}} = 0};$ an equation of energy conservation specified as: ${{\frac{\partial}{\partial t}{\rho \left( {\frac{u^{2}}{2} + Q} \right)}} = {- {\nabla\left\lbrack {\left( {\rho \; u} \right)\left( {\frac{u^{2}}{2} + Q} \right)} \right\rbrack}}};$ an equation of fluid state, specified as: P_(in)=ρQ=ρRT; an equation of fluid inner-static-pressure specified as: P _(in) =P _(s) +P _(drag) +P _(viscous); and an equation of an adiabatic process, specified as: P_(in)V^(γ)=Const; wherein said generalized vector equation of momentum conservation, the equation of mass conservation, the equation of energy conservation, the equation of fluid state, and the equation of an adiabatic process, altogether have an exact solution for streamlines of said molecular fluid steady-state flow, and wherein said exact solution for streamlines is the Bernoulli theorem saying that the value (P_(in)/φ+(u²/2) is constant along any streamline of said molecular fluid steady-state flow; and wherein said generalized vector equation of momentum conservation, the equation of mass conservation, the equation of energy conservation, the equation of fluid state, and the equation of an adiabatic process, altogether have an exact solution for a varying cross-sectional area of said molecular fluid steady-state flow, and wherein said exact solution for the varying cross-sectional area interrelates the varying cross-sectional area, indicated by A, with said velocity measured in Mach numbers by an equation of principle, the equation of principle being expressed by: ${\frac{A}{A_{*}} = {\frac{1}{M}\left( \frac{\gamma - 1}{\gamma} \right)^{\frac{1}{2}}\left( \frac{2 + {\gamma \; M^{2}}}{\gamma + 1} \right)^{\frac{\gamma + 1}{2{({\gamma - 1})}}}}},$ where A* is a critical condition cross-sectional area of said molecular fluid steady-state flow moving with the specific said velocity measured in Mach numbers equal to √{square root over ((γ−1)/γ)}; and wherein said generalized vector equation of momentum conservation, the equation of mass conservation, the equation of energy conservation, the equation of fluid state, the equation of fluid inner-static-pressure, and the equation of an adiabatic process, altogether have an exact solution for said steady-state flow, and wherein said exact solution for said steady-state flow interrelating the partial skin-friction static-pressure P_(skin) with the difference (a_(w)−a−δa), thereby predefining said wall-fluid molecular interaction forces cumulative action between said moving-small-portion and said stationary wall, wherein the cumulative action is at least one of attracting, repelling, and inert; and wherein said exact solution for said steady-state flow interrelating the partial drag-static-pressure P_(drag) with shape features and orientation of said stationary wall with respect to the velocity-vector u of said moving-small-portion, thereby predefining the Coanda-effect in said numerical analysis and predefining the shape features of said stationary wall when said method for computational fluid dynamics is applied for designing the shape features and thereby allowing for a design a fluid-repellent jet-gear corpus, comprising at least an outer layer made from a fluid-repellent material and having a substantially-airfoil orientation; wherein said outer layer having a relief-structured surface, contacting with nearby portions of said fluid and repelling said nearby portions of said fluid in said substantially-airfoil orientation; wherein, when an external energetic forced and steady-state oscillating action with a certain period causes said steady-state acoustic wave in fluid, wherein said steady-state oscillating motion occurring with said certain period, said generalized vector equation of momentum conservation, the equation of mass conservation, the equation of energy conservation, the equation of fluid state, and the equation of an adiabatic process, altogether have said exact solution for said steady-state acoustic wave in fluid, wherein said exact solution is the Bernoulli theorem saying that the change of value (P_(in)/φ+(u²/2) is constant for each mass unit subjected to said external energetic forced and steady-state oscillating action, wherein a portion of energy, permanently contributed due to said external energetic forced and steady-state oscillating action, is traveling in form of wave power of said steady-state acoustic wave.
 2. The method for computational fluid dynamics of claim 1, wherein said method for computational fluid dynamics further taking into account that said molecular fluid is in a potential gravitational field, wherein said generalized vector equation of momentum conservation is further specified and written in a differential form in terms of: the characteristic heat portion per unit mass stored in said molecular fluid's molecular Brownian random motion related to degrees of freedom causing said fluid matter molecules cumulative impact, and potential energy, stored in the potential gravitational field, namely: ${{\frac{\partial}{\partial t}u} = {{- {\nabla({uu})}} - {\nabla G} - {\nabla Q}}},$ where G is potential-energy-per-unit-mass of said molecular fluid stored in the gravitational field; wherein, without loss of generality, the potential-energy-per-unit-mass of said molecular fluid stored in the gravitational field of the Earth being approximated by the equation G=zg, where z is effective height of said molecular fluid portion above the Earth's ocean surface level, and g is the gravitational acceleration near the Earth's ocean surface level; wherein said equation of energy conservation is further specified and written in a differential form in terms of the heat energy, stored in the Brownian random motion of said fluid matter molecules, and the potential energy, stored in the gravitational field, namely: ${\frac{\partial}{\partial t}{\rho \left( {\frac{u^{2}}{2} + G + Q} \right)}} = {- {\nabla\left\lbrack {\left( {\rho \; u} \right)\left( {\frac{u^{2}}{2} + G + Q} \right)} \right\rbrack}}$ wherein said further specified generalized vector equation of momentum conservation, the equation of mass conservation, said further specified equation of energy conservation, the equation of fluid state, and the equation of an adiabatic process, altogether have an exact solution for streamlines of said molecular fluid steady-state flow, and wherein said exact solution for streamlines is the Bernoulli theorem saying that the value (P_(in)/ρ)+zg+(u²/2) is constant along any streamline of said molecular fluid steady-state flow.
 3. A specifically shaped tunnel comprising two open butt-ends: inlet and outlet; wherein said specifically shaped tunnel having a cross-sectional area specifically varying along said specifically shaped tunnel such that said specifically shaped tunnel performs a stage comprising three major successive constituents: (a) a convergent funnel having said open inlet butt-end, (b) a narrow throat having a shape comprising: a narrowing sub-stage, a cross-section of minimal area, and a divergent sub-stage, and (c) a divergent exhaust tailpipe having said open outlet butt-end; said specifically shaped tunnel is exposed to a flowing fluid such that an incoming portion of said flowing fluid, further called said flowing fluid inward portion, entering said open inlet butt-end, flows along said specifically shaped tunnel through said three major successive constituents and exits through said open outlet butt-end; wherein said fluid is at least one of liquid, gas, and plasma; wherein, with respect to said fluid, inner surface of said specifically shaped tunnel is at least one of: fluid-repellent, inert, and fluid-sticking; wherein said specifically shaped tunnel's variable cross-sectional area, indicated by A, being identical with said flowing fluid inward portion's variable cross-sectional area, thereby providing for said flowing fluid inward portion becoming a convergent-divergent flow portion comprising a convergent flow sub-portion, moving through said convergent funnel and said narrowing sub-stage of said specifically shaped tunnel, and comprising a divergent flow sub-portion, moving through said divergent sub-stage and said divergent exhaust tailpipe of said specifically shaped tunnel; wherein a set of interrelated terms being defined as follows: (a) an x-axis is defined as an imaginary axis oriented along said specifically shaped tunnel; (b) x-coordinates, indicated by x, are defined as spatial coordinates located along the x-axis; (c) a principal interval of the x-coordinates is defined as a fragment of the x-axis comprising at least the x-coordinates corresponding to location of said specifically shaped tunnel between said open inlet butt-end and said open outlet butt-end; (d) a critical condition area, indicated by A*, is defined as the minimal cross-sectional area of said narrow throat; (e) a critical condition point, indicated by x*, is defined as said x-coordinate corresponding to location of said critical condition area A*; (f) a corpus of body, further called also said body corpus, is defined as a geometrical configuration aspect of the body and specified as a space-portion bordered by a solid shell contacting with said flowing fluid; (g) an airfoil profile of said body corpus is defined as an elongated closed contour in a sectional plane, wherein said elongated closed contour having: a rounded leading edge, a sharp trailing end, and two opposite lengthened smoothly curved sides, joining said rounded leading edge and said sharp trailing end, and thereby forming said elongated closed contour, wherein at least one of said two opposite lengthened smoothly curved sides comprising a convexity; (h) a local sagittal axis, associated with said airfoil profile, is defined as an imaginary axis joining said rounded leading edge and said sharp trailing end; (i) an actually-airfoil shape of said body corpus is defined as a shape, having said airfoil profile of a longitudinal section in a local sagittal plane comprising said local sagittal axis, associated with the airfoil profile of the body corpus; wherein the body corpus, further called said airfoil body corpus, has at least one side comprising at least one convex withers; wherein the airfoil body corpus is oriented to meet an oncoming portion of said flowing fluid at said rounded leading edge of said airfoil profile, and thereby providing for said oncoming portion becoming an ambient-adjoining portion characterized by a static pressure distributed along said opposite lengthened smoothly curved sides of said airfoil profile at least one of linearly and substantially gradually, while flowing around the airfoil body corpus, and further, when stalling at said sharp trailing end of said airfoil profile, becoming a laminar outflowing portion of said flowing fluid; (j) the Coanda-effect is defined as a tendency of an ambient-adjoining portion of said flowing fluid to be attracted to and aligned with a nearby curved surface of said airfoil body corpus, the tendency being accompanied by a varying of said flowing fluid ambient-adjoining portion's cross-sectional area as said flowing fluid ambient-adjoining portion moves in alignment with the nearby curved surface of said airfoil body corpus; (k) an M-velocity, indicated by M, is defined as a value of said flowing fluid inward portion's velocity-vector, measured relative to at least one of the zero average Brownian distributed velocity of the fluid molecules and said specifically shaped tunnel, wherein said flowing fluid inward portion's velocity is measured in Mach numbers; (l) an excluded volume is defined as a volume, excluded by the presence of molecules in the theory of molecular fluid by van der Waals; (m) the compression ratio of said flowing fluid, indicated by r, is defined as V/(V−b), where V is the volume of said flowing fluid inward portion, and b is the van der Waals parameter, quantifying the excluded volume related to said flowing fluid; (n) the specific M-velocity, indicated by M*, related to said flowing fluid, is defined as equal to √{square root over ((γ−1)/γ)}, where γ is so-called adiabatic compressibility parameter of said flowing fluid; (o) a Venturi M-velocity is defined as said M-velocity, lower than the specific M-velocity M* and low sufficient to cross said narrow throat with said M-velocity, lower than the specific M-velocity M*; (p) a de Laval low M-velocity is defined as said M-velocity, lower than the specific M-velocity M* and high sufficient to reach the specific M-velocity M* at said critical condition point x*; (q) a de Laval high M-velocity is defined as said M-velocity, higher than the specific M-velocity M* and low sufficient to reach the specific M-velocity M* at said critical condition point x*; (r) a de Laval M-velocity is defined as at least one of said de Laval low M-velocity and said de Laval high M-velocity; (s) an essential M-velocity range is defined as a range of said M-velocities, comprising said M-velocities of said flowing fluid inward portion moving along and within said principal interval of the x-coordinates, wherein the essential M-velocity range comprises the specific M-velocity M*; (t) the Venturi effect is defined as an effect of a convective acceleration of said convergent flow sub-portion and a convective retarding of said divergent flow sub-portion, occurring, when said convergent-divergent flow portion moves with said Venturi M-velocity; (u) the de Laval jet-effect is defined as an effect of a convective extra-acceleration and extra-cooling of said flowing fluid inward portion, the de Laval jet-effect occurring in an adiabatic process in a so-called de Laval nozzle, wherein the effect is observed as an acceleration and cooling of said incoming portion of said flowing fluid, entering the de Laval nozzle with said de Laval low M-velocity, wherein the acceleration and cooling of said flowing fluid inward portion remaining monotone along the de Laval nozzle and therefore resulting in an extra-accelerated and extra-cooled jetstream, outflowing through said open outlet butt-end with an M-velocity higher than the specific M-velocity M*; (v) the de Laval retarding-effect is defined as an effect of a convective extra-slowing and extra-warming of said flowing fluid inward portion, the de Laval retarding-effect occurring in an adiabatic process in a de Laval nozzle, wherein the effect is observed as a slowing and warming of said incoming portion of said flowing fluid, entering the de Laval nozzle with the de Laval high M-velocity, wherein the slowing and warming of said flowing fluid inward portion remaining monotone along the de Laval nozzle resulting in an extra-slowed and extra-warmed jetstream, outflowing through said open outlet butt-end with an M-velocity lower than the specific M-velocity M*; (w) the de Laval effect is at least one of the de Laval jet-effect and the de Laval retarding-effect; (x) an enhanced jet-effect is defined as at least one of the Venturi effect and the de Laval effect optimized by smoothing of variable thermodynamic parameters of said flowing fluid, wherein said smoothing is a result of a specific varying of the cross-sectional area of said specifically shaped tunnel; and (y) an equation of principle is defined as an equation interrelating the ratio A/A* and the values M of said flowing fluid inward portion, wherein said equation of principle being expressed by: ${\frac{A}{A_{*}} = {\frac{1}{M}\left( \frac{\gamma - 1}{\gamma} \right)^{\frac{1}{2}}\left( \frac{2 + {\gamma \; M^{2}}}{\gamma + 1} \right)^{\frac{\gamma + 1}{2{({\gamma - 1})}}}}};$ thus, when said flowing fluid inward portion enters said open inlet butt-end with at least one of the Venturi M-velocity and the de Laval M-velocity, thereby said enhanced jet-effect becomes triggered; wherein said specifically shaped tunnel's cross-sectional area A variation along said principal interval of the x-coordinates being specific, thereby providing said enhanced jet-effect optimization, wherein a gradualness of said M-velocity change being a criterion of said enhanced jet-effect optimization, such that the values M, varying in said essential M-velocity range, relate with the x-coordinates x of said principal interval as a monotonic smooth function M(x), wherein the values M and the ratio A/A* are interrelated by said equation of principle for the values M belonging at least to said essential M-velocity range corresponding to the x-coordinates x of said principal interval, thereby, said equation of principle providing a certain dependency of the ratio A/A* upon the x-coordinates x, thereby forming the cross-sectional area specifically varying along said specifically shaped tunnel; namely, the ratio A/A* varying versus the x-coordinates x, being functionally interrelated with a monotonic smooth function M(x) by the equation of principle, and, in turn, the monotonic smooth function M(x) being expressed versus a preferred linear function of the x-coordinate, wherein said preferred linear function of the x-coordinate is at least one of: M(x)=M(x)=M*+α_(M)(x−x*), where M(x) is a specific linear distribution of said flowing fluid M-velocity along the x-axis, and α_(M)=∂M(x)/∂x is a constant gradient of the M-velocity specific linear distribution along the x-axis within said specially shaped tunnel, thus, M(x)=M(x), thereby said preferred linear function M(x) providing that said enhanced jet-effect becoming optimized by the linear change of said flowing fluid inward portion M-velocity as said flowing fluid inward portion moves through said specifically shaped tunnel; P(x)=P*+α_(p)(x−x*), where P(x) is a specific linear distribution of said flowing fluid static pressure, P* is the static pressure of said flowing fluid inward portion at the critical condition point x*, and α_(P)=∂P(x)/∂x is a constant gradient of the static pressure specific linear distribution along the x-axis within said specially shaped tunnel, and wherein, ${{M(x)} = \sqrt{2\left\{ {\left\lbrack {P_{0}\text{/}{\overset{\_}{P}(x)}} \right\rbrack^{{({\gamma - 1})}\text{/}\gamma} - 1} \right\} \text{/}\gamma}},$  where P₀ is the stagnation pressure, thereby said preferred linear function P(x) providing that said enhanced jet-effect becoming optimized by the linear change of said flowing fluid inward portion static pressure as said flowing fluid inward portion moves through said specifically shaped tunnel; T(x)=T*+α_(T)(x−x*), where T(x) is a specific linear distribution of said flowing fluid temperature, T* is the temperature of said flowing fluid inward portion at the critical condition point x*, and α_(T)=∂T(x)/∂x is a constant gradient of the temperature specific linear distribution along the x-axis within said specially shaped tunnel, and wherein ${{M(x)} = \sqrt{2\left\{ {\left\lbrack {T_{0}\text{/}{\overset{\_}{T}(x)}} \right\rbrack - 1} \right\} \text{/}\gamma}},$  where T₀ is the stagnation temperature, thereby said preferred linear function T(x) providing that said enhanced jet-effect becoming optimized by the linear change of said flowing fluid inward portion temperature as said flowing fluid inward portion moves through said specifically shaped tunnel; and ρ(x)=ρ*+α_(ρ)(x−x*), where ρ(x) is a specific linear distribution of said flowing fluid density, ρ* is the density of said flowing fluid inward portion at the critical condition point x*, and α_(ρ)=∂ρ(x)/∂x is a constant gradient of the density specific linear distribution along the x-axis within said specially shaped tunnel, and wherein ${{M(x)} = \sqrt{2\left\{ {\left\lbrack {\rho_{0}\text{/}{\overset{\_}{\rho}(x)}} \right\rbrack^{({\gamma - 1})} - 1} \right\} \text{/}\gamma}},$  where ρ₀ is the stagnation density, thereby said preferred linear function p(x) providing that said enhanced jet-effect becoming optimized by the linear change of said flowing fluid inward portion density as said flowing fluid inward portion moves through said specifically shaped tunnel; thereby said specific varying of said specifically shaped tunnel's cross-sectional area being optimized by smoothing of distributions of said flowing fluid thermodynamic parameters, namely: the static pressure, the temperature, and the density along said specifically shaped tunnel, thereby providing suppression of said specifically shaped tunnel's walls mechanic vibrations and tensions, and thereby providing for laminarity of said flowing fluid inward portion motion; and wherein at least one of said specifically shaped tunnel's walls is at least one of: real, constructed from a solid material; imaginary, formed by streamlines of said flowing fluid being subjected to an operation of the Coanda-effect; and imaginary, formed by streamlines of said flowing plasma subjected to an action of a magnetic field.
 4. The specifically shaped tunnel of claim 3; wherein said open outlet butt-end being extra-widened according to the equation of principle, thereby, when said flowing fluid inward portion enters said open inlet butt-end with said de Laval low M-velocity, making enable for said flowing fluid inward portion to reach M-velocities of belonging to at least one of the following velocity ranges: high-subsonic, transonic, supersonic, and hypersonic downstream behind the critical condition point x*.
 5. The specifically shaped tunnel of claim 3; wherein said open inlet butt-end being specifically-widened, at least one of stationary and controlled, thereby, when said flowing fluid inward portion enters said open inlet butt-end with said de Laval M-velocity being at least one of steady-state and varying in time, interrelating said de Laval M-velocity of said entering flowing fluid inward portion and said variable cross-sectional area of said entering flowing fluid inward portion according to the equation of principle, thereby providing such a conformity of said specifically-widened open inlet butt-end cross-sectional area with said de Laval M-velocity of flowing fluid inward portion crossing said specifically-widened open inlet butt-end, that a spatial distribution of said flowing fluid inward portion's M-velocity being substantially smooth upstream afore-and-nearby said specifically-widened open inlet butt-end, thereby further specifying said principal interval of the x-coordinates as a prolonged fragment of the x-axis comprising at least the x-coordinates of said specifically shaped tunnel location and at least the x-coordinates located upstream afore-and-nearby said specifically-widened open inlet butt-end.
 6. A motionless jet-engine, said motionless jet-engine comprising: the specifically shaped tunnel of claim 3, and a motionless compressor of said fluid, said motionless compressor being arranged upstream afore said open inlet butt-end of the specifically shaped tunnel; said motionless compressor being capable of compression a portion of said fluid, thereby providing for said flowing fluid inward portion to be sufficient at least one of pre-pressured and pre-heated, and thereby making enable for said flowing fluid inward portion at least one of: to increase said Venturi M-velocity in said open outlet butt-end, and to increase said de Laval low M-velocity to reach the specific M-velocity in said narrow throat at said critical condition point; wherein said motionless compressor being at least one of: a heating compressor comprising a heater of said fluid; a dragging compressor comprising a container inlet having a shape of a convergent funnel; and a gravity compressor comprising a container filled with said fluid characterized by said density higher than said density of ambient gas; said gravity container being submerged in a gravitational field, wherein a height is defined as a spatial interval along a prevalent direction of force-lines of the gravitational field, thereby, said fluid becoming characterized by said static pressure distributed in height; thus, said motionless jet-engine is further specified as at least one of: a motionless heating-jet engine comprising said heating compressor and the specifically shaped tunnel; a motionless dragging-jet engine comprising said dragging compressor and the specifically shaped tunnel; and a motionless gravity-jet engine comprising said gravity compressor and said container having the specifically shaped tunnel.
 7. An aerodynamic device comprising the specifically shaped tunnel of claim 3, and an engine, arranged downstream behind said open outlet butt-end of the specifically shaped tunnel; said engine using said extra-accelerated and extra-cooled jetstream, outflowing through said open outlet butt-end; and wherein said engine is at least one of a jet-engine, a turbo-jet engine, a motor applied to a vehicle, a generator of electricity, a cooler, a Peltier element operating as thermoelectric generator, and a vapor-into-water condenser.
 8. An improved propeller operating in fluid surroundings; wherein a functionality of said improved propeller operation is defined as at least one of launching and sucking a jetstream; wherein said jetstream moving substantially along a sagittal axis; said improved propeller comprising: at least one set of airfoil blades, an engine, consuming at least one of a power of burned fuel and electrical power, and transforming the consumed power into a power of the airfoil blades forced rotation thereby originating said jetstream, and the specifically shaped tunnel of claim 3, bordering said jetstream, wherein the x-axis and said sagittal axis are substantially collinear; wherein said at least one set of airfoil blades comprises first-airfoil-blades and second-airfoil-blades, each asymmetrically screwed and oriented relative to said sagittal axis, thereby, said first-airfoil-blades, when imaginarily compounded with said sagittal axis, constituting a chiral unit related to said first-airfoil-blades, and said second-airfoil-blades, when imaginarily compounded with said sagittal axis, constituting a chiral unit related to said second-airfoil-blades; wherein, the chiral unit related to said first-airfoil-blades is substantially in mirror-symmetrical conformance with the chiral unit related to said second-airfoil-blades; wherein said engine provides forced rotations of said first-airfoil-blades and said second-airfoil-blades in a transitional space, wherein said forced rotations of said first-airfoil-blades and said second-airfoil-blades being in mutually-opposite directions, namely, from a frontal point of view, clockwise and inverse-clockwise, correspondingly; and wherein said first-airfoil-blades and said second-airfoil-blades, when rotating in the mutually-opposite directions, have an impacting side, being asymmetrically screwed and oriented relative to said sagittal axis, to push said fluid portions in unison, thereby causing that: on the one hand, said forced rotations of each said first-airfoil-blades and said second-airfoil-blades inherently originating motions of said fluid portions in said transitional space, wherein said fluid portions motions comprise whirling motions and headway-motions, and on the other hand, said forced rotations of said first-airfoil-blades and said second-airfoil-blades, occurring simultaneously and in the mutually-opposite directions, thereby compensating the whirling motions of said fluid portions and thereby resulting in a dominant headway-motion of said fluid portions forming said jetstream, moving directionally along the x-axis; wherein said impacting sides of said first-airfoil-blades and said second-airfoil-blades are configured to at least one of focus and defocus said jetstream, thereby to vary a cross-sectional area of said jetstream as at least one of: said launching jetstream moves along the x-axis behind and away from said transitional space, and said sucking jetstream moves along the x-axis afore and toward said transitional space, thereby providing for said jetstream cross-sectional area varying being in conformance with said specific varying of said specifically shaped tunnel's cross-sectional area; wherein said specifically shaped tunnel's walls being at least partially at least one of imaginary, constituted by said jetstream streamlines, and real, made from a solid material; and wherein the critical condition point x, is located at least one of downstream behind said transitional space while said improved propeller launching said jetstream; and upstream afore said transitional space while said improved propeller sucking said jetstream.
 9. An improved wind-turbine; wherein a biconvex airfoil profile is defined as an elongated closed contour in a sectional plane, wherein said elongated closed contour having: a rounded leading edge, a sharp trailing end, and two opposite lengthened smoothly curved sides, joining said rounded leading edge and said sharp trailing end, and thereby forming said elongated closed contour, wherein each of said two opposite lengthened smoothly curved sides comprising at least one convex withers; said improved wind-turbine comprising: an axle capable of a forced mechanic rotational motion, said axle oriented along a sagittal axis; a set of identical airfoil blades attached to said axle; and an engine, capable of transforming a power of said forced mechanic rotational motion of said axle into electrical power; wherein each of said identical airfoil blades having an asymmetrical sectional profile, said asymmetrical sectional profile being said biconvex airfoil profile with said two opposite lengthened smoothly curved convex sides differing in convexity, thereby, when said improved wind-turbine is exposed to airflow moving along said sagittal axis, providing for, a set of sub-portions of said oncoming airflow flowing around said set of identical airfoil blades, correspondingly, and each said sub-portion of said set of sub-portions becoming divided between two jetstreams flowing adjacent to said two opposite lengthened smoothly curved convex sides, correspondingly, wherein each of said two opposite lengthened smoothly curved convex sides is shaped to act on each of said two adjacent jetstreams by the Coanda-effect, thereby: curving streamlines of each of said two adjacent jetstreams to form the specifically shaped tunnel of claim 3, said curving streamlines bordering said adjacent jetstream, wherein the x-axis, the local sagittal axis, and said sagittal axis are substantially collinear thereby providing the zero attack angle and thereby minimizing an impact of said two jetstreams on said two opposite lengthened smoothly curved convex sides of said identical airfoil blades, correspondingly; causing arising of lift-forces acting on each of said identical airfoil blades, wherein all said asymmetrical sectional profiles being oriented to provide for a set of said lift-forces acting on said set of identical airfoil blades, correspondingly, in unison and thereby providing for said forced mechanic rotational motion of said axle at least one of clockwise and inverse-clockwise with respect to a frontal point of view; and when the M-velocity of at least one of said two jetstreams reaching said de Laval M-velocity and, when moving nearby said at least one convex withers, reaching the specific M-velocity, triggering the de Laval enhanced jet-effect; thus, said set of identical airfoil blades of said improved wind-turbine being configured to minimize the impact and to trigger at least one of the Coanda-effect and the de Laval enhanced jet-effect, both having the jet-effect nature, in the final analysis, to produce the electrical power at the expense of said airflow warmth.
 10. An elemental jet-booster; wherein said elemental jet-booster's body corpus configuration comprising the specifically shaped tunnel of claim 3 and having said actually-airfoil shape of the body corpus as a whole; thereby, when said elemental jet-booster being exposed to said flowing fluid, said flowing fluid becoming divided into said flowing fluid inward portion and said flowing fluid ambient-adjoining portion, and at least said flowing fluid ambient-adjoining portion becoming subjected to the Coanda-effect operation; wherein said elemental jet-booster's body corpus configuration representing at least one of: a convergent-divergent jet-nozzle, having an overall shape being said actually-airfoil shape, and having a through hole being the specifically shaped tunnel; a convergent funnel, having walls having said airfoil profile, wherein said convergent funnel being a convergent part of the specifically shaped tunnel, thereby, when said flowing fluid inward portion moving through said convergent funnel with said de Laval M-velocity, said flowing fluid inward portion becoming subjected to said enhanced jet-effect, providing for said flowing fluid inward portion's varying cross-sectional area interrelating with said varying M-velocity of said flowing fluid inward portion by said equation of principle, satisfying a condition of gradual smoothing of distributions of said flowing fluid thermodynamic parameters along the x-axis, and thereby further said flowing fluid inward portion stalling at said sharp trailing end of said airfoil profile and joining with said flowing fluid ambient-adjoining portion, and thereby forming said jetstream as a part of said outflowing portion of said flowing fluid, moving laminarly and becoming convergent-divergent and bordered by imaginary laminar streamlines of said flowing fluid ambient-adjoining portion, and thereby satisfying a condition of gradual smoothing of distributions of said flowing fluid thermodynamic parameters along the x-axis, thereby, the specifically shaped tunnel becoming partially formed by said imaginary streamlines of said outflowing jetstream; and a specifically shaped airfoil body corpus, having said airfoil profile, wherein said airfoil profile being a part of a wall of the specifically shaped tunnel, satisfying a condition of gradual smoothing of distributions of said flowing fluid thermodynamic parameters along said airfoil profile, and having an opposite wall formed by said imaginary streamlines where thereby inherently providing a condition of gradual smoothing of distributions of said flowing fluid thermodynamic parameters along said airfoil profile, thereby, when said flowing fluid ambient-adjoining portion flowing around said airfoil body corpus with said de Laval M-velocity, said flowing fluid ambient-adjoining portion becoming subjected to said enhanced jet-effect, providing for said flowing fluid ambient-adjoining portion's varying cross-sectional area interrelating with said varying M-velocity of said flowing fluid ambient-adjoining portion by said equation of principle, satisfying a condition of gradual smoothing of distributions of said flowing fluid thermodynamic parameters along said airfoil profile, thereby, the specifically shaped tunnel becoming formed by said imaginary streamlines of said flowing fluid ambient-adjoining portion, and thereby said flowing fluid ambient-adjoining portion becoming identical to said flowing fluid inward portion; thereby, said actually-airfoil shape of said elemental jet-booster's body corpus as a whole being at least one of: axis-symmetrical or mirror-symmetrical, thereby providing that said enhanced jet-effect resulting in an optimized reactive thrust-force applied to said airfoil body corpus and directed to said rounded leading edge, and asymmetrical, having two opposite sides differing in convexity, thereby providing for said enhanced jet-effect resulting in an optimized both: reactive thrust-force applied to said airfoil body corpus and directed to said rounded leading edge, and lift-force applied to said airfoil body corpus and directed to that of said two opposite sides which being more convex.
 11. An adiabatic aerodynamic system comprising a set of the elemental jet-boosters, claimed in claim 10; wherein said set of the elemental jet-boosters comprises a sequential multi-stage cascade of at least N said elemental jet-boosters; wherein an overall arrangement of said sequential multi-stage cascade of at least N said elemental jet-boosters is along a smoothly curved locus; wherein said smoothly curved locus is at least one of a straight line and a curve; wherein said smoothly curved locus is at least one of unclosed and closed such that each pair of neighbor said elemental jet-boosters of said sequential multi-stage cascade comprises a previous elemental jet-booster and a next elemental jet-booster, oriented along said smoothly curved locus; wherein the previous elemental jet-booster is located upstream afore the next elemental jet-booster, and wherein each two neighbor said elemental jet-boosters of said sequential multi-stage cascade are at least one of spatially-separated and unbrokenly-connected; wherein: an oncoming flow portion, associated with said elemental jet-booster, is defined as said flowing fluid portion, running at said rounded leading edge of said airfoil profile of the elemental jet-booster body corpus; an outflowing convergent-divergent jetstream, associated with said elemental jet-booster, is defined as said flowing fluid inward portion, outflowing through said open outlet butt-end of the elemental jet-booster; an ambient-adjoining convergent-divergent jetstream, associated with said elemental jet-booster, is defined as said flowing fluid ambient-adjoining portion, flowing around the elemental jet-booster; thereby, said flowing fluid portion, while moving with M-velocities lower than said de Laval low M-velocities, is subjected to the Venturi effect, originated by the previous elemental jet-booster as a whole, thereby resulting in an integral acceleration of said flowing fluid portion as said flowing fluid portion flowing around the previous elemental jet-booster; thereby, each next elemental jet-booster is exposed to said oncoming flow portion, associated with the next elemental jet-booster, comprising said outflowing convergent-divergent jetstream, associated with the previous elemental jet-booster, and thereby intensifying an effect of convergence of said ambient-adjoining convergent-divergent jetstream and said outflowing convergent-divergent jetstream, both associated with the next elemental jet-booster, wherein the number N of said elemental jet-boosters in said sequential multi-stage cascade is chosen to satisfy a condition that for said flowing fluid, originally moving with said M-velocity, lower than the specific M-velocity, the resulting operation of said sequential multi-stage cascade of at least N said elemental jet-boosters provides for that a sub-portion of said ambient-adjoining convergent-divergent jetstream, associated with at least one of said elemental jet-boosters, reaches the specific M-velocity when moving through the cross-section of minimal area corresponding to said ambient-adjoining convergent-divergent jetstream; thereby, said flowing fluid portion: when reaching said de Laval low M-velocity, is inevitably subjected to the de Laval jet-effect, resulting in said flowing fluid portion's divergent sub-portion said extra-acceleration and extra-cooling, and thereby resulting in a motion with M-velocities higher than the specific M-velocity; and when reaching said de Laval high M-velocity, is subjected to the de Laval retarding-effect, resulting in said flowing fluid portion's said divergent sub-portion extra-slowing and extra-warming, and thereby resulting in a motion with M-velocities lower than the specific M-velocity; wherein said smoothly curved locus is at least one of a straight line, an arc, a spiral of Archimedes, an outer helical outline of the Archimedean screw, a rounded contour, an ellipse, and a circumference; thus, said flowing fluid portion being subjected to sequentially cascaded disturbance as flowing around said sequential multi-stage cascade of at least N said elemental jet-boosters along said smoothly curved locus, thereby said sequentially cascaded disturbance causing an origination of corresponding sequentially cascaded acoustic waves in said flowing fluid, said acoustic waves being at least one of peculiar and forced; wherein said overall arrangement of said sequential multi-stage cascade of at least N said elemental jet-boosters along said smoothly curved locus provides for certain distances between at least N said elemental jet-boosters thereby providing at least one of: an at least partially in-phase superposition of said sequentially cascaded originated acoustic waves; and an at least partially anti-phase superposition of said sequentially cascaded originated acoustic waves; wherein said adiabatic aerodynamic system is at least one of stationary and moving; and wherein said flowing fluid is at least one of natural and artificial, and is at least one of airflow and streaming water.
 12. An air cooler and vapor-to-water condenser, comprising the adiabatic aerodynamic system of claim 11, wherein said ambient flowing fluid is a humid airflow bringing water-vapor; wherein, when said flowing fluid portion, originally moving with said M-velocity, lower than the specific M-velocity, being subjected to at least one of: the Venturi effect, resulting in said flowing fluid portion acceleration and cooling, and the de Laval jet-effect, resulting in said flowing fluid portion extra-acceleration and extra-cooling; thereby reaching the so-called dew-point temperature corresponding to the humidity of airflow, the temperature of said flowing fluid portion, reduced down to the dew-point temperature, inevitably triggers a condensation of the water-vapor into airborne water-aerosols or drops of dew, sticking to an exposed body corpus surface.
 13. A vortex generator, comprising the adiabatic aerodynamic system of claim 11, wherein said closed smoothly curved locus is a circumference, providing that said elemental jet-boosters of said sequential multi-stage cascade, arranged circumferentially, act on said flowing fluid portions with a sequentially multi-stage cascaded operation of the Coanda-effect reinforced multi-repeatedly in an adiabatic process, thereby aligning a motion of said flowing fluid portions with nearby airfoil surfaces of said elemental jet-boosters, thereby resulting in that said ambient-adjoining convergent-divergent jetstreams become circulating ambient-adjoining convergent-divergent jetstreams, wherein said sub-portions of said circulating ambient-adjoining convergent-divergent jetstream, when moving with M-velocities lower than the specific M-velocity, are subjected to the Venturi effect in a positive feedback loop, thereby providing an acceleration of said sub-portions of said circulating ambient-adjoining convergent-divergent jetstreams in said positive feedback loop, thereby resulting in that said sub-portions of said circulating ambient-adjoining convergent-divergent jetstreams become moving with said de Laval M-velocities triggering alternating both: the de Laval jet-effect and the de Laval retarding-effect, thereby stabilizing an effective M-velocity alternating above and below the specific M-velocity.
 14. An engine, comprising the vortex generator of claim 13, wherein said engine is at least one of: an air cooler, wherein said ambient flowing fluid is natural air; a vapor-to-water condenser, wherein said ambient flowing fluid is humid air; an electricity generator further comprising a converter, transforming a kinetic power of said flowing fluid's molecules motion into electrical power; wherein said converter is at least one of: a turbo-generator comprising a rotor and stator, primary transforming a kinetic power of said flowing fluid motion in a prevalent direction into electrical power; and a Peltier element operating as a thermoelectric generator, primary producing electricity from temperature difference caused by a jet-effect, wherein said jet-effect is at least one of the Venturi effect, the de Laval jet-effect, and the de Laval retarding-effect; and an alternator further comprising a detector of waves, transforming wave power of said in-phase superposed sequentially cascaded originated acoustic waves into electrical power; a thrust-engine for a flying-saucer; said thrust-engine for said flying-saucer further comprising a set of airfoil wings; wherein said ambient flowing fluid is at least one of an artificial airflow and natural wind; and wherein said closed smoothly curved locus forming a closed contour placed in an imaginary so-called transversal plane; wherein said elemental jet-boosters having an effective height in a direction, perpendicular to said transversal plane, such that the vortex generator occupies an effective space in a form of a cylinder having: an oval base, parallel to said transversal plane comprising said closed smoothly curved locus, and a side of said effective height; wherein said circulating ambient-adjoining convergent-divergent jetstreams, associated with said elemental jet-boosters, contacting with said flowing fluid portions within said cylinder, and thereby drawing and circulating said flowing fluid portions within said cylinder; and wherein said airfoil wings are arranged within said cylinder and oriented to meet said flowing fluid portions circulating within said cylinder, wherein said actually-airfoil shape of at least one said oriented airfoil wing having said airfoil profile of said longitudinal section in said local sagittal plane, said at least one oriented airfoil wing being asymmetrical relative to said transversal plane, thereby causing a thrust-force, frequently called a lift-force, being perpendicular to said transversal plane.
 15. A two-stage convergent-divergent tunnel comprising two open butt-ends: inlet, exposed to a flow, and outlet, by definition releasing an outflowing jetstream; said two-stage convergent-divergent tunnel comprising two specifically shaped tunnels: first-stage and second-stage; each of the two specifically shaped tunnels: first-stage and second-stage, is as claimed in claim 3, wherein said flowing fluid is the flow; wherein said first-stage specifically shaped tunnel comprises two open butt-ends: a first-stage inlet and a first-stage outlet; and wherein said second-stage specifically shaped tunnel comprises two open butt-ends: a second-stage inlet and a second-stage outlet; and wherein said second-stage specifically shaped tunnel is arranged downstream behind said first-stage open outlet butt-end by superposing said second-stage open inlet butt-end with said first-stage open outlet butt-end, thereby forming said two-stage convergent-divergent tunnel having two sequential major successive constituents: (a) said first-stage specifically shaped tunnel, having said first-stage inlet becoming identical with said open inlet butt-end, exposed to the flow; wherein a portion of the flow, as said flowing fluid inward portion, enters said first-stage specifically shaped tunnel moving through said first-stage open inlet butt-end with said de Laval high M-velocity, thereby providing a condition for the de Laval retarding-effect triggering, wherein said first-stage specifically shaped tunnel being suited for said values M of said de Laval M-velocity varying in said essential M-velocity range, thus, said values M relate with said x-coordinates x of said principal interval corresponding to said first-stage specifically shaped tunnel as a monotonic smooth function M₁(x) having a negative partial derivation ∂M₁(x)/∂x, and thereby resulting in an M-velocity of said portion of the flow at said open first-stage outlet butt-end becoming lower that the specific M-velocity; and (b) said second-stage specifically shaped tunnel, having said second-stage outlet becoming identical with said open outlet butt-end, releasing said outflowing jetstream; wherein said second-stage specifically shaped tunnel, meeting said portion of the flow, as said flowing fluid inward portion, moving through said second-stage open inlet butt-end with said M-velocity at said open first-stage outlet butt-end, wherein said second-stage specifically shaped tunnel being suited for said values M of said de Laval M-velocity varying in said essential M-velocity range comprising said M-velocity of said portion of the flow at said open first-stage outlet butt-end, said M-velocity of said portion of the flow at said open first-stage outlet butt-end thereby becoming said de Laval low M-velocity at said open second-stage inlet butt-end, thereby triggering the de Laval jet-effect; thus, said values M relate with said x-coordinates x of said principal interval corresponding to said second-stage specifically shaped tunnel as a monotonic smooth function M₂(x) having a positive partial derivation ∂M₂(x)/∂x.
 16. A two-stage jet-booster, having a corpus with an outer overall airfoil shape and having the two-stage convergent-divergent tunnel, according to claim 15; wherein said flowing fluid ambient-adjoining portion, flowing around said corpus of said two-stage jet-booster and thereby becoming subjected to an operation of the Coanda-effect; and wherein the two-stage convergent-divergent tunnel is at least one of: real, inner, built-in into said two-stage jet-booster, having said real specifically shaped tunnel's walls; imaginary, outer, bordered by streamlines of said flowing fluid ambient-adjoining portion, flowing around a tandem arrangement of two airfoil bodies, each having a specifically shaped airfoil corpus having at most one convex withers, wherein said tandem arrangement of two airfoil bodies, together having at most two said convex withers, is such that said at most two convex withers of the two specifically shaped airfoil body corpuses meet said flowing fluid ambient-adjoining portion sequentially, thereby resulting in a two-stage convergent-divergent varying of said flowing fluid ambient-adjoining portion's cross-sectional area as said flowing fluid ambient-adjoining portion sequentially passes over said at most two convex withers; wherein imaginary walls, formed by said streamlines, bordering said flowing fluid ambient-adjoining portion, constitute the two-stage convergent-divergent tunnel, and wherein said flowing fluid ambient-adjoining portion is said flowing fluid inward portion moving through the two-stage convergent-divergent tunnel; and imaginary, outer, formed by at least two opposite walls, namely: at least one side of said two-stage jet-booster corpus as real specifically shaped tunnel's wall having said outer airfoil shape being two-humped, comprising two sequentially arranged convex withers separated by a concavity and oriented such that said two convex withers meet said flowing fluid ambient-adjoining portion sequentially; and at least one imaginary said specifically shaped tunnel's wall, formed by streamlines of said flowing fluid ambient-adjoining portion, moving nearby and in alignment with said outer two-humped airfoil side of said two-stage jet-booster corpus; thereby providing that said flowing fluid ambient-adjoining portion is said flowing fluid inward portion moving through the two-stage convergent-divergent tunnel.
 17. A corpus of a fluid-repellent jet-gear, submerged in ambient fluid; wherein a phobic-repulsing jet-effect is defined as a kind of jet-effect, occurring in a fluid near to a surface made from a fluid-repellent material; wherein said kind of jet-effect occurring, when nearby fluid portions, contacting with the surface, become substantially subjected to a repelling action of phobic-repulsive van der Waals forces originated by the fluid-repellent material, wherein said repelling action being appeared as an acceleration of the nearby fluid portions; said acceleration occurring at the expense of said nearby fluid portions' internal heat energy, thereby said acceleration being inevitably accompanied by said nearby fluid portions' temperature decrease, thereby creating a temperature difference between an original temperature of said fluid's portions, yet to be subjected to said phobic-repulsing jet-effect, and a decreased temperature of said nearby fluid portions, already subjected to said phobic-repulsing jet-effect, and wherein said repelling action being at least one of an inherent property of the fluid-repellent material and controlled by an external power source; wherein said fluid-repellent jet-gear corpus comprising at least an outer layer, made from a fluid-repellent material; wherein said outer layer having a relief-structured surface, contacting with nearby portions of said fluid; wherein said relief-structured surface comprising asymmetrically shaped and co-oriented airfoil protrusions thereby providing a cumulative repelling action of said phobic-repulsive van der Waals forces on said nearby fluid portions in unison and co-oriented in a prevalent direction, thereby causing said nearby fluid portions motion in said prevalent direction; wherein said asymmetrically shaped and co-oriented airfoil protrusions having a form of at least one of saw-like teeth, curved cogs having concave sides with parabolic sectional profiles, teeth-like fins, fish-scales, humps, airfoil convexities, screwed blades, convex airfoil withers, and spiral turns; wherein an overall configuration of said fluid-repellent jet-gear corpus having a substantially-airfoil orientation, aligned to said prevalent direction; thereby, airfoil streamlines of said nearby fluid portions moving in said prevalent direction forming the specifically shaped tunnel of claim 3; wherein said overall configuration of said fluid-repellent jet-gear corpus is in a form of at least one of: a bar, shaped as saw, having said substantially-airfoil orientation along said bar; a wheel, shaped as circle-saw, having said substantially-airfoil orientation being at least one of clockwise and inverse-clockwise; a convex-concave configuration, wherein a convex side has said substantially-airfoil orientation, and a concave side comprises said outer layer, made from said fluid-repellent material; a spiral staircase, having said substantially-airfoil orientation along a helical contour; a screw of Archimedes, having airfoil turns; a set of streamlined wings; a propeller; and a capillary tube; wherein an inner side of said capillary tube comprising said outer layer, and wherein said airfoil protrusions, being asymmetrically shaped and co-oriented and located within said capillary tube, thereby providing said cumulative repelling action of said phobic-repulsive van der Waals forces on said nearby fluid portions, located within said capillary tube, in unison and co-directed along said capillary tube, thereby resulting in said nearby fluid portions motion along said prevalent direction along and within said capillary tube; wherein said asymmetrically shaped and co-oriented airfoil protrusions are at least one of stationary and rotating relative to said fluid-repellent jet-gear corpus; wherein said fluid-repellent jet-gear corpus is at least one of stationary and moving relative to said fluid's portions, yet to be subjected to said phobic-repulsing jet-effect; wherein said prevalent direction of said nearby fluid portions motion, being at least partially at least one of whirling, headway, and streaming along a helical trajectory; wherein said fluid is at least one of a water-based liquid, an oil-based liquid, an alcohol-based liquid, and an ionized gas or liquid; and wherein said fluid-repellent material being at least one of hydrophobic, oleophobic, omniphobic, and ion-repellent and being embodied as at least one of an omni-repellent heating component, a water-repellent permanent magnet, a plasma-repellent magnet, a plasma-repellent electrically charged surface, and a strongly-hydrophobic surface.
 18. The corpus of a fluid-repellent jet-gear of claim 17; wherein said fluid-repellent jet-gear corpus further having said actually-airfoil shape; wherein said fluid is ambient humid air composed of ambient dry air and ambient water vapor; wherein said fluid-repellent material is a hydrophobic material; wherein said hydrophobic material further being porous, thereby providing that small portions of said ambient dry air penetrating into said porous material and thereby becoming inherent portions of said outer layer and thus originating two features: on the one hand, said portions of said ambient dry air, as said inherent portions of said outer layer, make said outer layer becoming more inert to said ambient dry air, and on the other hand, said hydrophobic material prevents said outer of said porous material from filling by water condensed from natural humid air, thereby said two features providing a decrease of a skin-friction effect; wherein said hydrophobic and porous material is at least one of a fuzz, a sponge, and a fibrous structure, and wherein said hydrophobic and porous material is at least one of natural and artificial.
 19. A hydrophobic jet-device; wherein a complex corpus of said hydrophobic jet-device comprising a set of sub-corpuses; wherein each said sub-corpus of said complex corpus is the corpus of said fluid-repellent jet-gear of claim 17; said hydrophobic jet-device comprising a power converter; wherein said power converter is further specified as being at least one of: a turbo-generator, wherein a rotor-subset is defined as a subset, comprising said sub-corpuses repelling said nearby fluid portions in at least one of said clockwise and said inverse-clockwise direction; said turbo-generator having a rotor, powered by motion of said rotor-subset; wherein said turbo-generator primary transforming a kinetic power of said nearby fluid portions motion in said prevalent direction into electrical power; a Peltier element operating as a thermoelectric generator, primary producing electricity from the temperature difference caused by said phobic-repulsing jet-effect; wherein a “cold” side of the Peltier element being submerged in said nearby fluid portions being already subjected to said phobic-repulsing jet-effect and thereby cooled having said decreased temperature, while a “hot” side of the Peltier element being submerged in said fluid's portions, yet to be subjected to said phobic-repulsing jet-effect and so having said original temperature; and an ice-maker, wherein said fluid is seawater being subjected to the generalized jet-effect provided by said generalized trigger of jet-effect and thereby the seawater being cooled and further frozen due to the triggered generalized jet-effect wherein said fluid is at least one of a permanently refreshed warm fluid having said original temperature and a fluid permanently consuming caloric.
 20. A jet-transformer for transformation of fluid heat energy into electricity; said jet-transformer comprising: a vertically oriented pipe having the specifically shaped tunnel of claim 3; at least one laminar flow maker, having the corpus of said fluid-repellent jet-gear of claim 17, in turn, having a reflective parabolically-concave surface and being supplied by a heater located in the reflective parabolically-concave surface focus: to heat a portion of said fluid thereby triggering the fluid portion extension, and to provide the heated fluid portion motion in said prevalent direction being upward vertical; and the improved wind-turbine of claim 9, located within the specifically shaped tunnel. 